en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=y,y(0)=1

Solution

y^{^{'}} = y, y (0) = 1

Solution

y = e^{t}

Solution steps

y^{'} (t) = y

Solve separable ODE:

y = e^{t}

y = e^{t}

Graph

Popular Examples

integral of ((2x+1))/(sqrt(x^2-1))

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

derivative of 2e^x(cos(x)-sin(x))derivative of

2 e^{x} (cos (x) - sin (x))

integral from-2 to 3 of (x^3-x^2-6x)

\int_{- 2}^{3} (x^{3} - x^{2} - 6 x) d x

d/(dt)(arcsin(t))

\frac{d}{d t} (arcsin (t))

d/(dt)(cos(t)+sin(t))

\frac{d}{d t} (cos (t) + sin (t))

Frequently Asked Questions (FAQ)

What is the solution for y^'=y,y(0)=1 ?
The solution for y^'=y,y(0)=1 is y=e^t