What is the solution for x^'=e^x*t*cos(t) ?

The solution for x^'=e^x*t*cos(t) is x=-ln(-tsin(t)-cos(t)-c_{1})

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x^'=e^xtcos(t)

x^{^{'}} = e^{x} \cdot t \cdot cos (t)

x = - ln (- t sin (t) - cos (t) - c_{1})

Solution steps

x^{'} (t) = e^{x} \cdot t \cdot cos (t)

Solve separable ODE:

x = - ln (- t sin (t) - cos (t) - c_{1})

x = - ln (- t sin (t) - cos (t) - c_{1})

What is the solution for x^'=e^x*t*cos(t) ?
The solution for x^'=e^x*t*cos(t) is x=-ln(-tsin(t)-cos(t)-c_{1})