What is the solution for y^'=(2y)/x ,y(1/(sqrt(2)))=5 ?

The solution for y^'=(2y)/x ,y(1/(sqrt(2)))=5 is y=10x^2

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y^'=(2y)/x ,y(1/(sqrt(2)))=5

y^{^{'}} = \frac{2 y}{x}, y (\frac{1}{2}) = 5

y = 10 x^{2}

Solution steps

y^{'} (x) = \frac{2 y}{x}

Solve separable ODE:

y = 10 x^{2}

y = 10 x^{2}

x \to 0 lim (\frac{( x ^{3} )}{x})

\int_{- 1}^{3} x d x

\int (2 x^{3} + 5 x^{2} - 2 x + 1) d x

x (x + 1)^{- 1}

e^{e^{x}} \to 0 + lim (\frac{e ^{e^{x} - 2}}{2})

What is the solution for y^'=(2y)/x ,y(1/(sqrt(2)))=5 ?
The solution for y^'=(2y)/x ,y(1/(sqrt(2)))=5 is y=10x^2