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

The solution for x(dy)/(dx)+y=sqrt(x) is y=(2x^{1/2})/3+(c_{1})/x

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

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

y = \frac{2 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

Solution steps

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

Solve linear ODE:

y = \frac{2 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

y = \frac{2 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

y^{^{'}} + 6 y = e^{4 t}, y (0) = 2

\int \frac{x ^{2}}{20 - 4 x + x ^{2}} d x

\frac{d}{d x} (0.5 sin^{2} (x) - x + 1)

\frac{4}{( s + 1 ) ^{2}}

t \cdot y^{^{'}} + t y = 1 - y

What is the solution for x(dy)/(dx)+y=sqrt(x) ?
The solution for x(dy)/(dx)+y=sqrt(x) is y=(2x^{1/2})/3+(c_{1})/x