What is the solution for (dy)/(dx)-0.2xy=0,y(1)=1 ?

The solution for (dy)/(dx)-0.2xy=0,y(1)=1 is y=e^{0.1x^2-0.1}

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(dy)/(dx)-0.2xy=0,y(1)=1

\frac{d y}{d x} - 0.2 x y = 0, y (1) = 1

y = e^{0.1 x^{2} - 0.1}

Solution steps

\frac{d y}{d x} - 0.2 x y = 0

Solve separable ODE:

y = e^{0.1 x^{2} - 0.1}

y = e^{0.1 x^{2} - 0.1}

\frac{d y}{d t} = 0.125 (y - 3), y (0) = 5

\frac{d y}{d x} = 2 y - 6

y y^{^{'}} = sin (x) + cos (x)

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

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

What is the solution for (dy)/(dx)-0.2xy=0,y(1)=1 ?
The solution for (dy)/(dx)-0.2xy=0,y(1)=1 is y=e^{0.1x^2-0.1}