General Solution of ODE with Arbitrary Constant Coefficient

Question:General Solution of ODE with Arbitrary Constant Coefficient

Posted: Test007 50 Product: Maple 2020

July 10 2020

The general solution of x²y'' + 3xy' + λy = 0 is (from Example 4 here)

Why does dsolve(x^2*diff(y(x), x, x) + 3*x*diff(y(x), x) + lambda*y(x) = 0) give only the third case instead of the whole solution?

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