Symbolics > Symbolic Evaluation > Solving ODEs Symbolically
Solving ODEs Symbolically
You can solve ordinary differential equations (ODE) symbolically on Mathcad, using the solve keyword.
You can set the modifier as the function’s name y, or as a function with an argument y(x).
A system of ODEs
A system of ODE’s
 
You can also solve a system of ODE and algebraic equation.
Boundary Conditions
Cauchy condition:
Cauchy condition for ODE
Neumann condition for higher order ODE:
Neumann condition for ODE
Inequality condition:
Inequality condition for ODE
ODEs with the Prime Operator
You can use derivatives, partial derivative, and the prime operator to write an ODE for symbolic evaluation.
Use the prime operator without explicitly specifying an argument. Mathcad automatically generates the variable in this case:
If Mathcad cannot detect the differential variable, an error is displayed:
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