en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

y^'=20sqrt(x)y

Solution

y^{^{'}} = 20 x y

Solution

y = e^{\frac{40}{3} x^{\frac{3}{2}} + c_{1}}

Solution steps

y^{'} (x) = 20 x y

Solve separable ODE:

y = e^{\frac{40}{3} x^{\frac{3}{2}} + c_{1}}

y = e^{\frac{40}{3} x^{\frac{3}{2}} + c_{1}}

Graph

Popular Examples

derivative of x/(sqrt(x-6))

\frac{d}{d x} (\frac{x}{x - 6})

integral of 1/4 x^2

\int \frac{1}{4} x^{2} d x

laplacetransform 6e^{-5t}+5t

l a pl a ce t r an s f or m 6 e^{- 5 t} + 5 t

derivative of y=(3x^4+9)/(x^2)

d er i v a t i v e y = \frac{3 x ^{4} + 9}{x ^{2}}

integral of (ln(x+1))^2

\int (ln (x + 1))^{2} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=20sqrt(x)y ?
The solution for y^'=20sqrt(x)y is y=e^{40/3 x^{3/2}+c_{1}}