What is the solution for (dy)/(dx)=7xsqrt(5y+3) ?

The solution for (dy)/(dx)=7xsqrt(5y+3) is y=(245x^4}{16}+\frac{5c_{1}(7x^2+c_{1}))/4-3/5

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(dy)/(dx)=7xsqrt(5y+3)

\frac{d y}{d x} = 7 x 5 y + 3

y = \frac{245 x ^{4}}{16} + \frac{5 c _{1} ( 7 x ^{2} + c _{1} )}{4} - \frac{3}{5}

Solution steps

\frac{d y}{d x} = 7 x 5 y + 3

Solve separable ODE:

y = \frac{245 x ^{4}}{16} + \frac{5 c _{1} ( 7 x ^{2} + c _{1} )}{4} - \frac{3}{5}

y = \frac{245 x ^{4}}{16} + \frac{5 c _{1} ( 7 x ^{2} + c _{1} )}{4} - \frac{3}{5}

\frac{d}{d x} (\frac{2000}{sin ( 3 x )})

y = \frac{5 + x f ( x )}{x}

y = 1 - x^{2}, y = 2 x, y = \frac{1}{2} x

\int_{0}^{1} e^{3 x} - e^{x} d x

\int \frac{y + 1}{y ^{2} + 2 y - 4} d y

What is the solution for (dy)/(dx)=7xsqrt(5y+3) ?
The solution for (dy)/(dx)=7xsqrt(5y+3) is y=(245x^4}{16}+\frac{5c_{1}(7x^2+c_{1}))/4-3/5