en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)=y+2e^t

Solution

\frac{d y}{d t} = y + 2 e^{t}

Solution

y = 2 e^{t} t + c_{1} e^{t}

Solution steps

\frac{d y}{d t} = y + 2 e^{t}

Solve linear ODE:

y = 2 e^{t} t + c_{1} e^{t}

y = 2 e^{t} t + c_{1} e^{t}

Popular Examples

(\partial)/(\partial x)(x^2+xy+y^2)

\frac{\partial}{\partial x} (x^{2} + x y + y^{2})

integral of (2x^2+6)/((x^2-2x+2)^2)

\int \frac{2 x ^{2} + 6}{( x ^{2} - 2 x + 2 ) ^{2}} d x

limit as x approaches infinity of ln(2x)

x \to \infty lim (ln (2 x))

area x=-1,x=3,y=x^3-1,y=0 area

x = - 1, x = 3, y = x^{3} - 1, y = 0

derivative of x^8ln(5x)

\frac{d}{d x} (x^{8} ln (5 x))

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=y+2e^t ?
The solution for (dy)/(dt)=y+2e^t is y=2e^tt+c_{1}e^t