The differential equation y3 6xy4dx 3xy2 12x2 y3dy 0 is S

The differential equation (y^3 + 6xy^4)dx + (3xy^2 + 12x^2 y^3)dy= 0 is

Select the correct answer.

a.) exact with solution

y⁴/4 + 6(xy⁵)/5 +(3x²y²)/2 +4x³y³ + C

b.) exact with solution

xy³+3x²y⁴=C

c.)not exact

d.)exact with solution

y⁴/4 +(6xy⁵)/5 +(3x²y²)/2 + 4x³y³ = c

e.) exact with solution

xy³ + 3x²y⁴ + C

Solution

d.)exact with solution
y4/4 +(6xy5)/5 +(3x2y2)/2 + 4x3y3 = c