What is the solution for (dx}{dt}=\frac{(8xln(x)))/t ,x(1)=4 ?

The solution for (dx}{dt}=\frac{(8xln(x)))/t ,x(1)=4 is x=4^{t^8}

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(dx}{dt}=\frac{(8xln(x)))/t ,x(1)=4

\frac{d x}{d t} = \frac{( 8 x ln ( x ) )}{t}, x (1) = 4

x = 4^{t^{8}}

Solution steps

\frac{d x}{d t} = \frac{( 8 x ln ( x ) )}{t}

Solve separable ODE:

x = 4^{t^{8}}

x = 4^{t^{8}}

y^{^{'}} x = 2 y

(t^{2} - 20 t + 51) \frac{d y}{d t} = y

\frac{1}{2 x} + \frac{1}{2 y} \frac{d y}{d x} = 0

e^{2 t} \frac{d x}{d t} = cos^{2} (x)

x \frac{d y}{d x} - y = 6 x^{9} y

What is the solution for (dx}{dt}=\frac{(8xln(x)))/t ,x(1)=4 ?
The solution for (dx}{dt}=\frac{(8xln(x)))/t ,x(1)=4 is x=4^{t^8}