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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

derivative of x+e^x

\frac{d}{d x} (x + e^{x})

(\partial)/(\partial x)(y/(2x^2))

\frac{\partial}{\partial x} (\frac{y}{2 x ^{2}})

derivative of 1/(arccos(3x))

\frac{d}{d x} (\frac{1}{arccos ( 3 x )})

integral of x^2cos(y)

\int x^{2} cos (y) d y

integral of 2/y

\int \frac{2}{y} d y

Frequently Asked Questions (FAQ)

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