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Popular >

(dy)/(dt)=-3y+9

Solution

\frac{d y}{d t} = - 3 y + 9

Solution

y = e^{- 3 t - c_{1}} + 3

Solution steps

\frac{d y}{d t} = - 3 y + 9

Solve separable ODE:

y = e^{- 3 t - c_{1}} + 3

y = e^{- 3 t - c_{1}} + 3

Graph

Popular Examples

integral of y^2e^{xy^2}+1

\int y^{2} e^{x y^{2}} + 1 d x

integral from 0 to pi/2 of cos(4x)

\int_{0}^{\frac{π}{2}} cos (4 x) d x

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

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

derivative of (-x^2+9/((x^2+9)^2))

\frac{d}{d x} (\frac{- x ^{2} + 9}{( x ^{2} + 9 ) ^{2}})

limit as x approaches 3 of-x^2-4x+8

x \to 3 lim (- x^{2} - 4 x + 8)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=-3y+9 ?
The solution for (dy)/(dt)=-3y+9 is y=e^{-3t-c_{1}}+3