What is the solution for (dy)/(dx)=6xsqrt(25-y^2) ?

The solution for (dy)/(dx)=6xsqrt(25-y^2) is y=5sin(3x^2+c_{1})

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(dy)/(dx)=6xsqrt(25-y^2)

\frac{d y}{d x} = 6 x 25 - y^{2}

y = 5 sin (3 x^{2} + c_{1})

Solution steps

\frac{d y}{d x} = 6 x 25 - y^{2}

Solve separable ODE:

y = 5 sin (3 x^{2} + c_{1})

y = 5 sin (3 x^{2} + c_{1})

3 x y y^{^{'}} + 4 y^{1} - 2 = 0

\frac{d y}{d t} + 1 + t^{2} y = 0, y (0) = 5

(x^{2} - y x^{2}) d y + (y^{2} + x y^{2}) d x = 0

d x + sin (t) x d t - sin (t) d t = 0, x (\frac{π}{2}) = - 1

y^{^{'}} + tan (3 x) y = 0

What is the solution for (dy)/(dx)=6xsqrt(25-y^2) ?
The solution for (dy)/(dx)=6xsqrt(25-y^2) is y=5sin(3x^2+c_{1})