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Popular >

(dx)/(dt)=tx^2

Solution

\frac{d x}{d t} = t x^{2}

Solution

x = - \frac{2}{t ^{2} + c _{1}}

Solution steps

\frac{d x}{d t} = t x^{2}

Solve separable ODE:

x = - \frac{2}{t ^{2} + c _{1}}

x = - \frac{2}{t ^{2} + c _{1}}

Popular Examples

(dy)/(dx)=(y^2-1)/(x^2-1),y(4)=4

\frac{d y}{d x} = \frac{y ^{2} - 1}{x ^{2} - 1}, y (4) = 4

(dy)/(dt)+2y=11,y(0)=1

\frac{d y}{d t} + 2 y = 11, y (0) = 1

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

\frac{d y}{e ^{2 y}} = e^{3 x} d x

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

y^2sec(7x)(dy)/(dx)=1,y(0)=0

y^{2} sec (7 x) \frac{d y}{d x} = 1, y (0) = 0

Frequently Asked Questions (FAQ)

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