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Popular >

xy^'-2y=5x^2

Solution

x y^{^{'}} - 2 y = 5 x^{2}

Solution

y = 5 ln (x) x^{2} + c_{1} x^{2}

Solution steps

x y^{'} (x) - 2 y = 5 x^{2}

Solve linear ODE:

y = 5 ln (x) x^{2} + c_{1} x^{2}

y = 5 ln (x) x^{2} + c_{1} x^{2}

Popular Examples

integral of (x^2)/(sqrt(x^6+25))

\int \frac{x ^{2}}{x ^{6} + 25} d x

limit as x approaches 0 of x^2cos(x^5)

x \to 0 lim (x^{2} cos (x^{5}))

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

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

derivative of-1/(1+x)

\frac{d}{d x} (- \frac{1}{1 + x})

derivative of (x^{1/2}*(x^2+x-4))

\frac{d}{d x} ((x^{\frac{1}{2}}) \cdot (x^{2} + x - 4))

Frequently Asked Questions (FAQ)

What is the solution for xy^'-2y=5x^2 ?
The solution for xy^'-2y=5x^2 is y=5ln(x)x^2+c_{1}x^2