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Popular >

xy^'-2y=x^2-x-1

Solution

x y^{^{'}} - 2 y = x^{2} - x - 1

Solution

y = x^{2} ln (x) + x + \frac{1}{2} + c_{1} x^{2}

Solution steps

x y^{'} (x) - 2 y = x^{2} - x - 1

Solve linear ODE:

y = x^{2} ln (x) + x + \frac{1}{2} + c_{1} x^{2}

y = x^{2} ln (x) + x + \frac{1}{2} + c_{1} x^{2}

Popular Examples

inverse oflaplace s/((s^3+1))inverse laplace

\frac{s}{( s ^{3} + 1 )}

integral from a to b of 1/x

\int_{a}^{b} \frac{1}{x} d x

integral of-1/(x^4)

\int - \frac{1}{x ^{4}} d x

derivative of e^{-1/(x^2})

\frac{d}{d x} (e^{- \frac{1}{x ^{2}}})

integral of 3x^2-2x+1

\int 3 x^{2} - 2 x + 1 d x

Frequently Asked Questions (FAQ)

What is the solution for xy^'-2y=x^2-x-1 ?
The solution for xy^'-2y=x^2-x-1 is y=x^2ln(x)+x+1/2+c_{1}x^2