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to
y''-y' y-x=0
y''-y' y-2x=0
y''-y' y-3x=0
......
y''-y' y -c x=0, where c is constant, 1,2,3, .....
wolfram always give 2/(c1-x)
y''-2y' y-x=0
y''-2y' y-2x=0
y''-2y' y-3x=0
......
y''-2y' y -c x=0, where c is constant.
wolfram always give 1/(c1-x)
y''-b y' y-x=0
y''-b y' y-2x=0
y''-b y' y-3x=0
......
y''-b y' y -c x=0, where b, c are constants.
wolfram always give 2/(c1-x)/b
Obviously all these solutions are wrong. How to check solution in wolfram?
what is solution and how to check by your online software?
Input your diff equation into mathHand.com, click the "dsolve" button to solve, then click the "test" button to test solution.