What is the solution for (x+4)(2y+6)dy=xy^2dx ?

The solution for (x+4)(2y+6)dy=xy^2dx is y= 3/(\W((3(x^2+8x+16)){e^{\frac{x+c_{1}+4)/2}})}

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(x+4)(2y+6)dy=xy^2dx

(x + 4) (2 y + 6) d y = x y^{2} d x

y = \frac{3}{W ( \frac{3 ( x ^{2} + 8 x + 16 )}{e ^{\frac{x + c _{1} + 4}{2}}} )}

Solution steps

(x + 4) (2 y + 6) d y = x y^{2} d x

Solve separable ODE:

y = \frac{3}{W ( \frac{3 ( x ^{2} + 8 x + 16 )}{e ^{\frac{x + c _{1} + 4}{2}}} )}

y = \frac{3}{W ( \frac{3 ( x ^{2} + 8 x + 16 )}{e ^{\frac{x + c _{1} + 4}{2}}} )}

What is the solution for (x+4)(2y+6)dy=xy^2dx ?
The solution for (x+4)(2y+6)dy=xy^2dx is y= 3/(\W((3(x^2+8x+16)){e^{\frac{x+c_{1}+4)/2}})}