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Popular >

(dv)/(dt)=10+2v

Solution

\frac{d v}{d t} = 10 + 2 v

Solution

v = e^{2 t + c_{1}} - 5

Solution steps

\frac{d v}{d t} = 10 + 2 v

Solve separable ODE:

v = e^{2 t + c_{1}} - 5

v = e^{2 t + c_{1}} - 5

Popular Examples

y^'=y^{-9}x^9,y(0)=9

y^{^{'}} = y^{- 9} x^{9}, y (0) = 9

x/(100)+(dx)/(dt)=10

\frac{x}{100} + \frac{d x}{d t} = 10

(dy)/(dx)=-12x^3y

\frac{d y}{d x} = - 12 x^{3} y

y^{^{'}} = b \cdot y + c

8x-5ysqrt(x^2+1)(dy)/(dx)=0,y(0)=-10

8 x - 5 y x^{2} + 1 \frac{d y}{d x} = 0, y (0) = - 10

Frequently Asked Questions (FAQ)

What is the solution for (dv)/(dt)=10+2v ?
The solution for (dv)/(dt)=10+2v is v=e^{2t+c_{1}}-5