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Popular >

y^'-6x^2y=0,y(1)=e

Solution

y^{^{'}} - 6 x^{2} y = 0, y (1) = e

Solution

y = e^{2 x^{3} - 1}

Solution steps

y^{'} (x) - 6 x^{2} y = 0

Solve separable ODE:

y = e^{2 x^{3} - 1}

y = e^{2 x^{3} - 1}

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y = \frac{( x + 4 ) ( x ^{2} - 4 x + 16 )}{x ^{3}}

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x \to 2 lim (\frac{2}{4 x + 3})

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integral of t^{-4}e^t

\int t^{- 4} e^{t} d t

Frequently Asked Questions (FAQ)

What is the solution for y^'-6x^2y=0,y(1)=e ?
The solution for y^'-6x^2y=0,y(1)=e is y=e^{2x^3-1}