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Popular >

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

Solution

2 \frac{d y}{d t} + 2 y = 3

Solution

y = - \frac{e ^{- t - c_{1}}}{2} + \frac{3}{2}

Solution steps

2 \frac{d y}{d t} + 2 y = 3

Solve separable ODE:

y = - \frac{e ^{- t - c_{1}}}{2} + \frac{3}{2}

y = - \frac{e ^{- t - c_{1}}}{2} + \frac{3}{2}

Popular Examples

(dV)/(dt)=10-(2V)/(100)

\frac{d V}{d t} = 10 - \frac{2 V}{100}

(dy)/(dx)=3x^2y^3

\frac{d y}{d x} = 3 x^{2} y^{3}

3y^4-1+12xy^3(dy)/(dx)=0

3 y^{4} - 1 + 12 x y^{3} \frac{d y}{d x} = 0

y^'-10y^'+25y=0

y^{^{'}} - 10 y^{^{'}} + 25 y = 0

(dy)/(dx)-0.075y=-9000

\frac{d y}{d x} - 0.075 y = - 9000

Frequently Asked Questions (FAQ)

What is the solution for 2(dy)/(dt)+2y=3 ?
The solution for 2(dy)/(dt)+2y=3 is y=-(e^{-t-c_{1}})/2+3/2