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Popular >

3t^2(dx)/(dt)-9x+9=0

Solution

3 t^{2} \frac{d x}{d t} - 9 x + 9 = 0

Solution

x = e^{- \frac{3}{t} + c_{1}} + 1

Solution steps

3 t^{2} \frac{d x}{d t} - 9 x + 9 = 0

Solve separable ODE:

x = e^{- \frac{3}{t} + c_{1}} + 1

x = e^{- \frac{3}{t} + c_{1}} + 1

Popular Examples

(dy)/(dx)=(xsec(y))/(e^{x^2)}

\frac{d y}{d x} = \frac{x sec ( y )}{e ^{x^{2}}}

(x^2-24x+119)(dy)/(dx)=y

(x^{2} - 24 x + 119) \frac{d y}{d x} = y

(dv)/(dt)+1/2 v=0

\frac{d v}{d t} + \frac{1}{2} v = 0

x y^{^{'}} - y = 6 x^{8} y

(dx}{dt}=\frac{xln(x))/t ,x(1)=5

\frac{d x}{d t} = \frac{x ln ( x )}{t}, x (1) = 5

Frequently Asked Questions (FAQ)

What is the solution for 3t^2(dx)/(dt)-9x+9=0 ?
The solution for 3t^2(dx)/(dt)-9x+9=0 is x=e^{-3/t+c_{1}}+1