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Popular >

(dy)/(dt)+4y=11

Solution

\frac{d y}{d t} + 4 y = 11

Solution

y = - \frac{e ^{- 4 t - c_{1}}}{4} + \frac{11}{4}

Solution steps

\frac{d y}{d t} + 4 y = 11

Solve separable ODE:

y = - \frac{e ^{- 4 t - c_{1}}}{4} + \frac{11}{4}

y = - \frac{e ^{- 4 t - c_{1}}}{4} + \frac{11}{4}

Popular Examples

x \cdot \frac{d y}{d x} = y

(dy)/(dx)y=(7+x)^{5/x}

\frac{d y}{d x} y = (7 + x)^{\frac{5}{x}}

(dy)/(dx)(1+x^4)-3x^3y=0,y=2,x=1

\frac{d y}{d x} (1 + x^{4}) - 3 x^{3} y = 0, y = 2, x = 1

v(dv)/(dx)=-0.05v-9.8

v \frac{d v}{d x} = - 0.05 v - 9.8

(dy)/(dt)=(7t^2)/(9y)

\frac{d y}{d t} = \frac{7 t ^{2}}{9 y}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)+4y=11 ?
The solution for (dy)/(dt)+4y=11 is y=-(e^{-4t-c_{1}})/4+11/4