generated 수정자를 사용하여 ODE 풀기

기호 > 기호 연산 > generated 수정자를 사용하여 ODE 풀기

generated를 사용하여 1차 상미분 방정식 풀기

ODE를 풀 때 generated 수정자를 사용하면 일반해를 구하는 대신 ODE의 특정 해 범위를 설정할 수 있습니다.

1. solve. 키워드를 사용해 프라임 표기법으로 작성된 다음 ODE를 풀어 보십시오.

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          <id xml:space="preserve">y</id>
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                      <id xml:space="preserve" labels="CONSTANT">e</id>
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2. generated 수정자를 추가해 같은 ODE를 풀면 특정 해를 구할 수 있습니다.

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            <id xml:space="preserve">solve</id>
            <id xml:space="preserve">y</id>
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            <apply>
              <id xml:space="preserve">eval</id>
              <real>0</real>
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          </apply>
        </sequence>
      </command>
      <symResult>
        <apply>
          <minus />
          <apply>
            <neg />
            <id xml:space="preserve" labels="VARIABLE">x</id>
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          <real>1</real>
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3. generated 수정자를 사용하면 도함수 표기법으로 작성된 ODE를 풀면 특정 해를 구할 수 있습니다.

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                <id xml:space="preserve">y</id>
                <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">x</id>
              </apply>
            </lambda>
            <degree>
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            </degree>
          </apply>
          <apply>
            <id xml:space="preserve">y</id>
            <id xml:space="preserve">x</id>
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        </apply>
        <id xml:space="preserve">x</id>
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      <command>
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            <id xml:space="preserve">solve</id>
            <id xml:space="preserve">y</id>
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            <id xml:space="preserve" labels="VARIABLE">_z</id>
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              <id xml:space="preserve" labels="CONSTANT">e</id>
              <apply>
                <neg />
                <id xml:space="preserve" labels="VARIABLE">x</id>
              </apply>
            </apply>
          </apply>
          <parens>
            <apply>
              <minus />
              <id xml:space="preserve" labels="VARIABLE">x</id>
              <real>1</real>
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generated를 사용하여 2차 도함수 ODE 풀기

2차 도함수 ODE를 풀 때 generated 수정자를 사용할 수 있습니다.

1. solve 키워드를 사용해 다음 2차 도함수 ODE를 풀어 보십시오.

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                  <id xml:space="preserve">s</id>
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            <degree>
              <real>2</real>
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        <id xml:space="preserve">b</id>
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        <sequence>
          <id xml:space="preserve">solve</id>
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            <id xml:space="preserve">y</id>
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              <id xml:space="preserve">x</id>
              <id xml:space="preserve">s</id>
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        </sequence>
      </command>
      <symResult>
        <program>
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                  <elementOf />
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                  <id xml:space="preserve" labels="CONSTANT">ℂ</id>
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                  <id xml:space="preserve" labels="VARIABLE">_z1</id>
                  <id xml:space="preserve" labels="CONSTANT">ℂ</id>
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              </apply>
            </test>
            <then>
              <program>
                <apply>
                  <plus />
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                    <mult />
                    <id xml:space="preserve" labels="VARIABLE">_z1</id>
                    <apply>
                      <pow />
                      <id xml:space="preserve" labels="CONSTANT">e</id>
                      <apply>
                        <div />
                        <apply>
                          <mult />
                          <id xml:space="preserve" labels="VARIABLE">x</id>
                          <apply>
                            <nthRoot />
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                            <apply>
                              <mult />
                              <real>4</real>
                              <id xml:space="preserve" labels="VARIABLE">a</id>
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                        <real>2</real>
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                  <parens>
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                      <minus />
                      <apply>
                        <mult />
                        <id xml:space="preserve" labels="VARIABLE">_z</id>
                        <apply>
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                          <id xml:space="preserve" labels="CONSTANT">e</id>
                          <apply>
                            <div />
                            <apply>
                              <neg />
                              <parens>
                                <apply>
                                  <mult />
                                  <id xml:space="preserve" labels="VARIABLE">x</id>
                                  <apply>
                                    <nthRoot />
                                    <placeholder />
                                    <apply>
                                      <mult />
                                      <real>4</real>
                                      <id xml:space="preserve" labels="VARIABLE">a</id>
                                    </apply>
                                  </apply>
                                </apply>
                              </parens>
                            </apply>
                            <real>2</real>
                          </apply>
                        </apply>
                      </apply>
                      <apply>
                        <div />
                        <id xml:space="preserve" labels="VARIABLE">b</id>
                        <id xml:space="preserve" labels="VARIABLE">a</id>
                      </apply>
                    </apply>
                  </parens>
                </apply>
              </program>
            </then>
            <else>
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2. generated 수정자를 추가해 같은 2차 도함수 ODE를 풀면 특정 해를 구할 수 있습니다.

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            </lambda>
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              <real>2</real>
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generated를 사용하여 ODE계 풀기

generated 수정자를 사용하여 ODE계를 풀면 특정 해를 구할 수 있습니다.

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