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Popular >

(dy)/(dt)=ay

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

limit as x approaches 0 of (tan(12x))/(sin(3x))

x \to 0 lim (\frac{tan ( 12 x )}{sin ( 3 x )})

sum from n=1 to infinity of 2/(n^2+1)

n = 1 \sum \infty \frac{2}{n ^{2} + 1}

integral of e^{cos(38t)}sin(38t)

\int e^{c o s (38 t)} sin (38 t) d t

derivative of x^2+8x+7

\frac{d}{d x} (x^{2} + 8 x + 7)

area y=sqrt(x),y=2x-15,y=0 area

y = x, y = 2 x - 15, y = 0

Frequently Asked Questions (FAQ)

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