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Popular >

y^'=5sqrt(x)y

Solution

y^{^{'}} = 5 x y

Solution

y = e^{\frac{10}{3} x^{\frac{3}{2}} + c_{1}}

Solution steps

y^{'} (x) = 5 x y

Solve separable ODE:

y = e^{\frac{10}{3} x^{\frac{3}{2}} + c_{1}}

y = e^{\frac{10}{3} x^{\frac{3}{2}} + c_{1}}

Graph

Popular Examples

u^'x+\H(x)=(1-\H(x))/(1+\H(x))

u^{^{'}} x + H (x) = \frac{1 - H ( x )}{1 + H ( x )}

x^2(x+1)(2x^2-x-5)dx= 1/((y+1))dy

x^{2} (x + 1) (2 x^{2} - x - 5) d x = \frac{1}{( y + 1 )} d y

(dy)/(dx)y=(2x+1)/(xsin(x))

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

y^{^{'}} - b y = 2

x^{^{'}} = x^{2} - 4

Frequently Asked Questions (FAQ)

What is the solution for y^'=5sqrt(x)y ?
The solution for y^'=5sqrt(x)y is y=e^{10/3 x^{3/2}+c_{1}}