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Popular >

(dy)/(dt)=ky

Solution

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

Solution

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

Solution steps

\frac{d y}{d t} = k y (t)

Solve separable ODE:

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

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

Popular Examples

(\partial)/(\partial r)(r^2)

\frac{\partial}{\partial r} (r^{2})

limit as x approaches-infinity of x^3

x \to - \infty lim (x^{3})

(\partial)/(\partial x)(((x*y))/((x+y)))

\frac{\partial}{\partial x} (\frac{( x \cdot y )}{( x + y )})

integral of yt^3-1.5y

\int y t^{3} - 1.5 y d t

limit as x approaches 0 of 4/(x^2)

x \to 0 lim (\frac{4}{x ^{2}})

Frequently Asked Questions (FAQ)

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