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Popular >

y^'=(2y)/(5x)

Solution

y^{^{'}} = \frac{2 y}{5 x}

Solution

y = c_{1} x^{\frac{2}{5}}

Solution steps

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

Solve separable ODE:

y = c_{1} x^{\frac{2}{5}}

y = c_{1} x^{\frac{2}{5}}

Graph

Popular Examples

(dy)/(dx)x=e^x(y-1)

\frac{d y}{d x} x = e^{x} (y - 1)

(dv)/(dt)=14-1.4v

\frac{d v}{d t} = 14 - 1.4 v

(dy)/(dx)=6x^2sqrt(y),y>0

\frac{d y}{d x} = 6 x^{2} y, y > 0

(1+y)((dy)/(dx))+sin^2(x)=1

(1 + y) (\frac{d y}{d x}) + sin^{2} (x) = 1

(dy)/(dx)= 1/(ye^x)

\frac{d y}{d x} = \frac{1}{y e ^{x}}

Frequently Asked Questions (FAQ)

What is the solution for y^'=(2y)/(5x) ?
The solution for y^'=(2y)/(5x) is y=c_{1}x^{2/5}