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Popular >

xy^'-2y=3x^2

Solution

x y^{^{'}} - 2 y = 3 x^{2}

Solution

y = 3 ln (x) x^{2} + c_{1} x^{2}

Solution steps

x y^{'} (x) - 2 y = 3 x^{2}

Solve linear ODE:

y = 3 ln (x) x^{2} + c_{1} x^{2}

y = 3 ln (x) x^{2} + c_{1} x^{2}

Popular Examples

tangent of f(x)=sqrt(1-6x),\at x=-1 tangent of

f (x) = 1 - 6 x, at x = - 1

derivative of (9x)/(sqrt(x))derivative of

\frac{9 x}{x}

integral of (x^2-2x-5)/((x-1)^2(x^2+1))

\int \frac{x ^{2} - 2 x - 5}{( x - 1 ) ^{2} ( x ^{2} + 1 )} d x

limit as x approaches 1 of (3x-2)/(2x-1)

x \to 1 lim (\frac{3 x - 2}{2 x - 1})

derivative of arctanh(3x)

\frac{d}{d x} (arctanh (3 x))

Frequently Asked Questions (FAQ)

What is the solution for xy^'-2y=3x^2 ?
The solution for xy^'-2y=3x^2 is y=3ln(x)x^2+c_{1}x^2