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Popular >

(dy)/(dt)=-2y+5

Solution

\frac{d y}{d t} = - 2 y + 5

Solution

y = \frac{e ^{- 2 t - c_{1}}}{2} + \frac{5}{2}

Solution steps

\frac{d y}{d t} = - 2 y + 5

Solve separable ODE:

y = \frac{e ^{- 2 t - c_{1}}}{2} + \frac{5}{2}

y = \frac{e ^{- 2 t - c_{1}}}{2} + \frac{5}{2}

Popular Examples

2ty^3+3t^2y^2(dy)/(dt)=0,y(1)=1

2 t y^{3} + 3 t^{2} y^{2} \frac{d y}{d t} = 0, y (1) = 1

y^4e^{2x}+(dy)/(dx)=0

y^{4} e^{2 x} + \frac{d y}{d x} = 0

y^{^{'}} = 2 x y (1 + 4 y)

d/(dθ)(r(θ))=(r(θ)^2)/(θ^2)

\frac{d}{d θ} (r (θ)) = \frac{r ( θ ) ^{2}}{θ ^{2}}

(dy)/(dx)=(2x+5)/(x(1+2y))

\frac{d y}{d x} = \frac{2 x + 5}{x ( 1 + 2 y )}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=-2y+5 ?
The solution for (dy)/(dt)=-2y+5 is y=(e^{-2t-c_{1}})/2+5/2