What is the solution for (dy}{dx}=\frac{4y)/x ,y=2,x=1 ?

The solution for (dy}{dx}=\frac{4y)/x ,y=2,x=1 is y=2x^4

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(dy}{dx}=\frac{4y)/x ,y=2,x=1

\frac{d y}{d x} = \frac{4 y}{x}, y = 2, x = 1

y = 2 x^{4}

Solution steps

\frac{d y}{d x} = \frac{4 y}{x}

Solve separable ODE:

y = 2 x^{4}

y = 2 x^{4}

y^{2} sec (3 x) \frac{d y}{d x} = 1, y (0) = 0

y^{^{'}} = sin (3 x) y^{2}

y^{^{'}} = y - (y)^{2}

\frac{d y}{d x} = (x - 6) e^{- 2 y}, y (6) = ln (6)

0 = \frac{1}{10} y + (100 \cdot 1 0^{- 3}) y^{^{'}}

What is the solution for (dy}{dx}=\frac{4y)/x ,y=2,x=1 ?
The solution for (dy}{dx}=\frac{4y)/x ,y=2,x=1 is y=2x^4