What is the solution for 2x(dy)/(dx)+y=10sqrt(x) ?

The solution for 2x(dy)/(dx)+y=10sqrt(x) is y=5sqrt(x)+(c_{1})/(sqrt(x))

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2x(dy)/(dx)+y=10sqrt(x)

2 x \frac{d y}{d x} + y = 10 x

y = 5 x + \frac{c _{1}}{x}

Solution steps

2 x \frac{d y}{d x} + y = 10 x

Solve linear ODE:

y = 5 x + \frac{c _{1}}{x}

y = 5 x + \frac{c _{1}}{x}

\int e^{- x} sec^{2} (e^{- x}) d x

\frac{d}{d t} (sin (t) cos (t))

\frac{d y}{d x} = 2 y + 2

\int sin (3 x) sec^{2} (3 x) d x

\frac{d ^{2}}{d x ^{2}} (e^{- 4 x^{2}})

What is the solution for 2x(dy)/(dx)+y=10sqrt(x) ?
The solution for 2x(dy)/(dx)+y=10sqrt(x) is y=5sqrt(x)+(c_{1})/(sqrt(x))