What is the solution for (dx}{dt}=\frac{xln(x))/t ,x(1)=5 ?

The solution for (dx}{dt}=\frac{xln(x))/t ,x(1)=5 is x=5^t

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(dx}{dt}=\frac{xln(x))/t ,x(1)=5

\frac{d x}{d t} = \frac{x ln ( x )}{t}, x (1) = 5

x = 5^{t}

Solution steps

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

Solve separable ODE:

x = 5^{t}

x = 5^{t}

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

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

f^{^{'}} (x) = 3 f (x)

\frac{x}{100} + 1 \frac{d x}{d t} = 75

y d x - x d y = 2 d y, y (1) = 3

What is the solution for (dx}{dt}=\frac{xln(x))/t ,x(1)=5 ?
The solution for (dx}{dt}=\frac{xln(x))/t ,x(1)=5 is x=5^t