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Popular >

(dy)/(dt)=5y

Solution

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

Solution

y = e^{5 t + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{5 t + c_{1}}

y = e^{5 t + c_{1}}

Popular Examples

integral of x+x

\int x + x d x

derivative of y=(2x^5+8)/(x^3)derivative of

y = \frac{2 x ^{5} + 8}{x ^{3}}

integral of 1/((2x^2-x-3))

\int \frac{1}{( 2 x ^{2} - x - 3 )} d x

limit as x approaches infinity of (e^{2x})/(e^{2x)+1}

x \to \infty lim (\frac{e ^{2 x}}{e ^{2 x} + 1})

integral of 1/(1+21x)

\int \frac{1}{1 + 21 x} d x

Frequently Asked Questions (FAQ)

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