en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=sqrt(x)y

Solution

y^{^{'}} = x y

Solution

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

Solution steps

y^{'} (x) = x y

Solve separable ODE:

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

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

Popular Examples

limit as x approaches 5 of (xpi)/3

x \to 5 lim (\frac{x π}{3})

1/(x^2)dx=e^{-2t}dt

\frac{1}{x ^{2}} d x = e^{- 2 t} d t

tangent of-x^3(-1.1)tangent of

- x^{3} (- 1.1)

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

ln (1 + x^{2})

(\partial)/(\partial y)(6y^2e^{6xy})

\frac{\partial}{\partial y} (6 y^{2} e^{6 x y})

Frequently Asked Questions (FAQ)

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