What is the solution for (dy)/(dx)=8xsqrt(25-y^2) ?

The solution for (dy)/(dx)=8xsqrt(25-y^2) is y=5sin(4x^2+c_{1})

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(dy)/(dx)=8xsqrt(25-y^2)

\frac{d y}{d x} = 8 x 25 - y^{2}

y = 5 sin (4 x^{2} + c_{1})

Solution steps

\frac{d y}{d x} = 8 x 25 - y^{2}

Solve separable ODE:

y = 5 sin (4 x^{2} + c_{1})

y = 5 sin (4 x^{2} + c_{1})

n = 1 \sum \infty 3 - \frac{2}{3 ^{n}}

\int_{b}^{2 b} x^{7} d x

h \to + 0 lim (h)

\int 2 x y^{2} - 3 d x

\int \frac{1}{x ^{2} x ^{2} - 8} d x

What is the solution for (dy)/(dx)=8xsqrt(25-y^2) ?
The solution for (dy)/(dx)=8xsqrt(25-y^2) is y=5sin(4x^2+c_{1})