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Popular >

xy^'-2y=12x^2

Solution

x y^{^{'}} - 2 y = 12 x^{2}

Solution

y = 12 ln (x) x^{2} + c_{1} x^{2}

Solution steps

x y^{'} (x) - 2 y = 12 x^{2}

Solve linear ODE:

y = 12 ln (x) x^{2} + c_{1} x^{2}

y = 12 ln (x) x^{2} + c_{1} x^{2}

Graph

Popular Examples

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\frac{d}{d x} (x^{2} + 5 x - 8)

-18y^{''}-14y^'=0,y(3)=-3,y^'(3)=-3

- 18 y^{^{''}} - 14 y^{^{'}} = 0, y (3) = - 3, y^{^{'}} (3) = - 3

integral of (3x)/(sqrt(x^2-11))

\int \frac{3 x}{x ^{2} - 11} d x

integral of (4xe^x+e^{4x})/(e^{3x)}

\int \frac{4 x e ^{x} + e ^{4 x}}{e ^{3 x}} d x

integral from 1 to 4 of f(x)

\int_{1}^{4} f (x) d x

Frequently Asked Questions (FAQ)

What is the solution for xy^'-2y=12x^2 ?
The solution for xy^'-2y=12x^2 is y=12ln(x)x^2+c_{1}x^2