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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

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limit as x approaches infinity of n^x

x \to \infty lim (n^{x})

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x \to - 3 lim (\frac{- 6 x - 18}{x ^{3} + 3 x ^{2}})

sum from n=1 to infinity of (n!)/(n^2)

n = 1 \sum \infty \frac{n !}{n ^{2}}

Frequently Asked Questions (FAQ)

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