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Popular >

(dx)/(dt)=12xt

Solution

\frac{d x}{d t} = 12 \cdot x \cdot t

Solution

x = e^{6 t^{2} + c_{1}}

Solution steps

\frac{d x}{d t} = 12 \cdot x \cdot t

Solve separable ODE:

x = e^{6 t^{2} + c_{1}}

x = e^{6 t^{2} + c_{1}}

Popular Examples

(dy)/(dx)=12yx^2

\frac{d y}{d x} = 12 y x^{2}

y=x^3*e^{-2x}cos(3x)(dy)/(dx)

y = x^{3} \cdot e^{- 2 x} cos (3 x) \frac{d y}{d x}

(3y)dx+(2x)dy=0

(3 y) d x + (2 x) d y = 0

t^{-1}(dy}{dt}=8cos^2(y),y(2)=\frac{3pi)/4

t^{- 1} \frac{d y}{d t} = 8 cos^{2} (y), y (2) = \frac{3 π}{4}

y^{^{'}} + sin (y) = 0

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=12*x*t ?
The solution for (dx)/(dt)=12*x*t is x=e^{6t^2+c_{1}}