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Popular >

(dy)/(dt)=9y

Solution

\frac{d y}{d t} = 9 y

Solution

y = e^{9 t + c_{1}}

Solution steps

\frac{d y}{d t} = 9 y

Solve separable ODE:

y = e^{9 t + c_{1}}

y = e^{9 t + c_{1}}

Popular Examples

(dP)/(dt)=P(7-P)-49/4

\frac{d P}{d t} = P (7 - P) - \frac{49}{4}

y^{^{'}} + \frac{3}{x} y = 0

y(1+x^2)y^'-x(1+y^2)=0,y(0)=1

y (1 + x^{2}) y^{^{'}} - x (1 + y^{2}) = 0, y (0) = 1

sin(y)cos(x)dy-sin(x)cos(y)dx=0

sin (y) cos (x) d y - sin (x) cos (y) d x = 0

\frac{y ^{^{'}}}{3} = x^{2} y

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=9y ?
The solution for (dy)/(dt)=9y is y=e^{9t+c_{1}}