What is the solution for (t^2-xt^2)(dx)/(dt)+x^2+tx^2=0 ?

The solution for (t^2-xt^2)(dx)/(dt)+x^2+tx^2=0 is x=-1/(\W(-(1){e^{\frac{c_{1}t-1)/t}t})}

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(t^2-xt^2)(dx)/(dt)+x^2+tx^2=0

(t^{2} - x t^{2}) \frac{d x}{d t} + x^{2} + t x^{2} = 0

x = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} t - 1}{t}} t} )}

Solution steps

(t^{2} - x t^{2}) \frac{d x}{d t} + x^{2} + t x^{2} = 0

Solve separable ODE:

x = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} t - 1}{t}} t} )}

x = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} t - 1}{t}} t} )}

\int_{0}^{1} x e^{- 3 x} d x

\int \frac{5 t}{1 - 25 t ^{4}} d t

cot (csc (x))

g (x) = \frac{1}{x + 4}

\int_{1}^{5} \frac{1}{x - 1} d x

What is the solution for (t^2-xt^2)(dx)/(dt)+x^2+tx^2=0 ?
The solution for (t^2-xt^2)(dx)/(dt)+x^2+tx^2=0 is x=-1/(\W(-(1){e^{\frac{c_{1}t-1)/t}t})}