What is the solution for (dx)/(dt)=e^x*sin(t) ?

The solution for (dx)/(dt)=e^x*sin(t) is x=-ln(cos(t)-c_{1})

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(dx)/(dt)=e^x*sin(t)

\frac{d x}{d t} = e^{x} \cdot sin (t)

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

Solution steps

\frac{d x}{d t} = e^{x} \cdot sin (t)

Solve separable ODE:

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

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

sin (\frac{x π}{4})

(x^{- \frac{1}{2}})^{^{'}}

x \to \infty lim (\frac{1}{0})

x \to 3 lim (- x^{2} + x - 3)

\int_{- \infty}^{0} \frac{x}{x ^{4} + 9} d x

What is the solution for (dx)/(dt)=e^x*sin(t) ?
The solution for (dx)/(dt)=e^x*sin(t) is x=-ln(cos(t)-c_{1})