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Popular >

xy^'+2y=12x^2

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

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\frac{d}{d t} (sin (t^{3}))

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f (x) = \frac{4}{( x ^{2} + 6 x ) ^{3}}

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\int \frac{( ln ( t ) ) ^{4}}{t} d t

integral of 2x+c

\int 2 x + c d x

Frequently Asked Questions (FAQ)

What is the solution for xy^'+2y=12x^2 ?
The solution for xy^'+2y=12x^2 is y=3x^2+(c_{1})/(x^2)