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Popular >

(dy)/(dt)+2y=11

Solution

\frac{d y}{d t} + 2 y = 11

Solution

y = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{11}{2}

Solution steps

\frac{d y}{d t} + 2 y = 11

Solve separable ODE:

y = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{11}{2}

y = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{11}{2}

Popular Examples

(y^2+1)dx+xydy=0

(y^{2} + 1) d x + x y d y = 0

(2a^2-r^2)dr=r^3sin(θ)dθ

(2 a^{2} - r^{2}) d r = r^{3} sin (θ) d θ

y^'-y/x-1= 1/x+y

y^{^{'}} - \frac{y}{x} - 1 = \frac{1}{x} + y

(dy)/(dx)=(2(y-1))/((x-1))

\frac{d y}{d x} = \frac{2 ( y - 1 )}{( x - 1 )}

(dy)/(dt)+2y=0,y(0)=3

\frac{d y}{d t} + 2 y = 0, y (0) = 3

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)+2y=11 ?
The solution for (dy)/(dt)+2y=11 is y=-(e^{-2t-c_{1}})/2+11/2