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Popular >

(dx)/(dt)=te^x

Solution

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

Solution

x = - ln (- \frac{t ^{2}}{2} - c_{1})

Solution steps

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

Solve separable ODE:

x = - ln (- \frac{t ^{2}}{2} - c_{1})

x = - ln (- \frac{t ^{2}}{2} - c_{1})

Graph

Popular Examples

10(dv)/(dx)=200-5v^2

10 \frac{d v}{d x} = 200 - 5 v^{2}

dy=(y+3)/(x+4)dx

d y = \frac{y + 3}{x + 4} d x

(sdt)/(ds)-2t=0

\frac{s d t}{d s} - 2 t = 0

(dN)/(dx)-0.3*N-32.4=0

\frac{d N}{d x} - 0.3 \cdot N - 32.4 = 0

(dy)/(dx)+2xy=x,y= 1/2+1/2 e^{-x^2}

\frac{d y}{d x} + 2 x y = x, y = \frac{1}{2} + \frac{1}{2} e^{- x^{2}}

Frequently Asked Questions (FAQ)

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