What is the solution for (dy)/(dx)+3x^2y=18x^2,y(0)=8 ?

The solution for (dy)/(dx)+3x^2y=18x^2,y(0)=8 is y=2e^{-x^3}+6

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(dy)/(dx)+3x^2y=18x^2,y(0)=8

\frac{d y}{d x} + 3 x^{2} y = 18 x^{2}, y (0) = 8

y = 2 e^{- x^{3}} + 6

Solution steps

\frac{d y}{d x} + 3 x^{2} y = 18 x^{2}

Solve separable ODE:

y = 2 e^{- x^{3}} + 6

y = 2 e^{- x^{3}} + 6

38 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)

n = 1 \sum \infty 0. 3^{n}

\frac{\partial}{\partial x} (- 3 x y^{2} - 2 y cos (x))

\frac{d}{d x} (x y^{2} z^{3})

7 x^{2} y^{^{'}} = y^{^{'}} + 7 x e^{- y}

What is the solution for (dy)/(dx)+3x^2y=18x^2,y(0)=8 ?
The solution for (dy)/(dx)+3x^2y=18x^2,y(0)=8 is y=2e^{-x^3}+6