What is the solution for (dy)/(dx)=ycos(x^2) ?

The solution for (dy)/(dx)=ycos(x^2) is y=e^{sqrt(pi/2)\C(sqrt(2/pi)x)+c_{1}}

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(dy)/(dx)=ycos(x^2)

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

y = e^{\frac{π}{2} C (\frac{2}{π} x) + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{π}{2} C (\frac{2}{π} x) + c_{1}}

y = e^{\frac{π}{2} C (\frac{2}{π} x) + c_{1}}

\frac{d y}{d t} + y (cos (t)) = 0

y^{^{'}} = \frac{4 x ^{3}}{y ^{2}}

\frac{d y}{d x} = - \frac{3}{2} x^{7} y^{8}

y^{^{'}} = - 0.02 y + 3, y (0) = 0

\frac{d y}{d x} = \frac{x y ^{3}}{( 1 + x ^{2} ) ^{- \frac{1}{2}}}, y = 1

What is the solution for (dy)/(dx)=ycos(x^2) ?
The solution for (dy)/(dx)=ycos(x^2) is y=e^{sqrt(pi/2)\C(sqrt(2/pi)x)+c_{1}}