en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

y^'+2y=60,y(1)=80

Solution

y^{^{'}} + 2 y = 60, y (1) = 80

Solution

y = 30 + 50 e^{2 - 2 t}

Solution steps

y^{'} (t) + 2 y = 60

Solve linear ODE:

y = 30 + 50 e^{2 - 2 t}

y = 30 + 50 e^{2 - 2 t}

Graph

Popular Examples

derivative of f(x)=sqrt(3)sin(x)+cos(x)

d er i v a t i v e f (x) = 3 sin (x) + cos (x)

integral of (3x^2+2x)ln(x)

\int (3 x^{2} + 2 x) ln (x) d x

derivative of (1+sin(3x)^4)

\frac{d}{d x} ((1 + sin (3 x))^{4})

derivative of (3cos(2x+sin(3x)+4)^2)

\frac{d}{d x} ((3 cos (2 x) + sin (3 x) + 4)^{2})

y^'-4y=10sin(2t),y(0)=0

y^{^{'}} - 4 y = 10 sin (2 t), y (0) = 0

Frequently Asked Questions (FAQ)

What is the solution for y^'+2y=60,y(1)=80 ?
The solution for y^'+2y=60,y(1)=80 is y=30+50e^{2-2t}