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Popular >

(dy)/(dt)+2y=7

Solution

\frac{d y}{d t} + 2 y = 7

Solution

y = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{7}{2}

Solution steps

\frac{d y}{d t} + 2 y = 7

Solve separable ODE:

y = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{7}{2}

y = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{7}{2}

Popular Examples

(dx)/(dt)=2tsqrt(1-x^2)

\frac{d x}{d t} = 2 t 1 - x^{2}

3x[(dy)/(dx)]=4xy

3 x [\frac{d y}{d x}] = 4 x y

(d^2y)/(dx^2)-2(dy)/(dx)+y=3x^2-5

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = 3 x^{2} - 5

4y^{''}+36y=csc(3x)

4 y^{^{''}} + 36 y = csc (3 x)

y^{''}-y=cosh(x)

y^{^{''}} - y = cosh (x)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)+2y=7 ?
The solution for (dy)/(dt)+2y=7 is y=-(e^{-2t-c_{1}})/2+7/2