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DSolve::bvimp RSolve::bvimp

DSolve::bvimp RSolve::bvimp

Details

  • This message is generated when DSolve is unable to solve for the boundary conditions using a general solution which is in implicit form.
  • Off[message] switches off the message; On[message] switches it on. For example: Off[DSolve::bvimp].

Examples

Basic Examples  (1)

The general solution of the following nonlinear second-order ODE is in implicit form:

Wolfram Language code: Off[InverseFunction::ifun, Solve::ifun, Solve::tdep]
Wolfram Language code: DSolve[{(y[x] - x) * y''[x] + y'[x] ^ 2 == 0}, y, x]

Hence, DSolve is unable to solve the following boundary value problem for the ODE:

Wolfram Language code: DSolve[{(y[x] - x) * y''[x] + y'[x] ^ 2 == 0, y[1] == 2, y'[1] == 5}, y, x]

A numerical solution can be obtained using NDSolve:

Wolfram Language code: NDSolve[{(y[x] - x) * y''[x] + y'[x] ^ 2 == 0, y[1] == 2, y'[1] == 5}, y, {x, 1, 3}]
Wolfram Language code: On[InverseFunction::ifun, Solve::ifun, Solve::tdep]