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Popular >

(dx)/(dt)+5x=50

Solution

\frac{d x}{d t} + 5 x = 50

Solution

x = - e^{- 5 t - c_{1}} + 10

Solution steps

\frac{d x}{d t} + 5 x = 50

Solve separable ODE:

x = - e^{- 5 t - c_{1}} + 10

x = - e^{- 5 t - c_{1}} + 10

Popular Examples

derivative of (7e^x/(2e^x+1))

\frac{d}{d x} (\frac{7 e ^{x}}{2 e ^{x} + 1})

integral of (e^x)/(e^{2x)-2e^x-3}

\int \frac{e ^{x}}{e ^{2 x} - 2 e ^{x} - 3} d x

derivative of (x^3-x)/(1+x^2)derivative of

\frac{x ^{3} - x}{1 + x ^{2}}

tangent of f(x)=x^2-x,(-4,20)tangent of

f (x) = x^{2} - x, (- 4, 20)

x*y*(dy)/(dx)-y^2=2*x^2

x \cdot y \cdot \frac{d y}{d x} - y^{2} = 2 \cdot x^{2}

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)+5x=50 ?
The solution for (dx)/(dt)+5x=50 is x=-e^{-5t-c_{1}}+10