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Popular >

y^'=ay

Solution

y^{^{'}} = a y

Solution

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

Solution steps

y^{'} (t) = a y (t)

Solve separable ODE:

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

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

Popular Examples

derivative of f(x)=6 derivative of

f (x) = 6

integral of arccot(4y)

\int arccot (4 y) d y

limit as x approaches x^1 of x^2

x \to x^{1} lim (x^{2})

derivative of y=sqrt(3x-7)derivative of

y = 3 x - 7

integral from 0 to 1 of (x^2-2x+3)

\int_{0}^{1} (x^{2} - 2 x + 3) d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=ay ?
The solution for y^'=ay is y=e^{at+c_{1}}