What is the solution for (y^2+16)dx-(1/((3x+5)^2))dy=0 ?

The solution for (y^2+16)dx-(1/((3x+5)^2))dy=0 is y=4tan(12x^3+60x^2+100x-c_{1})

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(y^2+16)dx-(1/((3x+5)^2))dy=0

(y^{2} + 16) d x - (\frac{1}{( 3 x + 5 ) ^{2}}) d y = 0

y = 4 tan (12 x^{3} + 60 x^{2} + 100 x - c_{1})

Solution steps

(y^{2} + 16) d x - (\frac{1}{( 3 x + 5 ) ^{2}}) d y = 0

Solve separable ODE:

y = 4 tan (12 x^{3} + 60 x^{2} + 100 x - c_{1})

y = 4 tan (12 x^{3} + 60 x^{2} + 100 x - c_{1})

\int \frac{12}{12 + e ^{x}} d x

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What is the solution for (y^2+16)dx-(1/((3x+5)^2))dy=0 ?
The solution for (y^2+16)dx-(1/((3x+5)^2))dy=0 is y=4tan(12x^3+60x^2+100x-c_{1})