en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=ky

Solution

y^{^{'}} = k y

Solution

y = e^{k t + c_{1}}

Solution steps

y^{'} (t) = k y (t)

Solve separable ODE:

y = e^{k t + c_{1}}

y = e^{k t + c_{1}}

Popular Examples

y^{''}-y^'-2y=4x^2,y(0)=-1,y^'(0)=1

y^{^{''}} - y^{^{'}} - 2 y = 4 x^{2}, y (0) = - 1, y^{^{'}} (0) = 1

limit as x approaches 16 of sqrt(4x)

x \to 16 lim (4 x)

integral from 0 to 5 of pi((20-4x)/5)^2

\int_{0}^{5} π (\frac{20 - 4 x}{5})^{2} d x

\int 3 u d u

slope ofintercept (8.1)(24.9)slope intercept

(8.1) (24.9)

Frequently Asked Questions (FAQ)

What is the solution for y^'=ky ?
The solution for y^'=ky is y=e^{kt+c_{1}}