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Popular >

(dy)/(dt)=-1/5 y

Solution

\frac{d y}{d t} = - \frac{1}{5} y

Solution

y = e^{\frac{- t - c _{1}}{5}}

Solution steps

\frac{d y}{d t} = - \frac{1}{5} y

Solve separable ODE:

y = e^{\frac{- t - c _{1}}{5}}

y = e^{\frac{- t - c _{1}}{5}}

Popular Examples

integral from pi to 5pi of x^2sin(x)

\int_{π}^{5 π} x^{2} sin (x) d x

derivative of 8w^4+3w^2+7w derivative of

8 w^{4} + 3 w^{2} + 7 w

integral of (x^2-4x+4)^{4/3}

\int (x^{2} - 4 x + 4)^{\frac{4}{3}} d x

(dy)/(dx)=(5x)/(6y)

\frac{d y}{d x} = \frac{5 x}{6 y}

integral of (2x^2+5x)e^{3x}

\int (2 x^{2} + 5 x) e^{3 x} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=-1/5 y ?
The solution for (dy)/(dt)=-1/5 y is y=e^{(-t-c_{1})/5}