en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=sqrt(y),y(0)=0

Solution

y^{^{'}} = y, y (0) = 0

Solution

y = \frac{t ^{2}}{4}

Solution steps

y^{'} (t) = y

Solve separable ODE:

y = \frac{t ^{2}}{4}

y = \frac{t ^{2}}{4}

Popular Examples

y^{''}-2y^'-3y=e^{-x}

y^{^{''}} - 2 y^{^{'}} - 3 y = e^{- x}

derivative of sin^2(5x)derivative of

sin^{2} (5 x)

dy+ydx=2xy^2e^xdx

d y + y d x = 2 x y^{2} e^{x} d x

derivative of 2^xx^2

\frac{d}{d x} (2^{x} x^{2})

integral of 1/(8-7x)

\int \frac{1}{8 - 7 x} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=sqrt(y),y(0)=0 ?
The solution for y^'=sqrt(y),y(0)=0 is y=(t^2)/4