Question

Which procedure verifies a solution of a differential equation?

Options

• Draw only the solution curve and check whether it is a straight line

• Assign fixed values to every independent variable and check whether \[a=b\]

• Substitute the function and its derivatives into the equation and check whether \[\mathrm{LHS}=\mathrm{RHS}\]

• Remove all derivatives and check whether the relation contains arbitrary constants

Answer 1

To verify a solution, first obtain the required derivatives of the function. Substitute the function and its derivatives into the differential equation and check whether \[\mathrm{LHS}=\mathrm{RHS}\].