What is the solution for 2(dy)/(dx)-4xy=8x,y(0)=2 ?

The solution for 2(dy)/(dx)-4xy=8x,y(0)=2 is y=4e^{x^2}-2

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2(dy)/(dx)-4xy=8x,y(0)=2

2 \frac{d y}{d x} - 4 x y = 8 x, y (0) = 2

y = 4 e^{x^{2}} - 2

Solution steps

2 \frac{d y}{d x} - 4 x y = 8 x

Solve separable ODE:

y = 4 e^{x^{2}} - 2

y = 4 e^{x^{2}} - 2

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What is the solution for 2(dy)/(dx)-4xy=8x,y(0)=2 ?
The solution for 2(dy)/(dx)-4xy=8x,y(0)=2 is y=4e^{x^2}-2