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Popular >

y^'+1/x y=6x^2

Solution

y^{^{'}} + \frac{1}{x} y = 6 x^{2}

Solution

y = \frac{3 x ^{3}}{2} + \frac{c _{1}}{x}

Solution steps

y^{'} (x) + \frac{1}{x} y = 6 x^{2}

Solve linear ODE:

y = \frac{3 x ^{3}}{2} + \frac{c _{1}}{x}

y = \frac{3 x ^{3}}{2} + \frac{c _{1}}{x}

Popular Examples

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integral of 10x^4-2sec^2(x)

\int 10 x^{4} - 2 sec^{2} (x) d x

tangent of 4/(x^2)tangent of

\frac{4}{x ^{2}}

tangent of 9/x tangent of

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Frequently Asked Questions (FAQ)

What is the solution for y^'+1/x y=6x^2 ?
The solution for y^'+1/x y=6x^2 is y=(3x^3)/2+(c_{1})/x