Question

(3x^2+4xy)dx+(2x^2+2y)dy=0

Exact differential equations Question. ​

Answer 1

I don't understand your question. Please try again later.

Answer 2

x³+2x²y+y²=c

Question: (3x²+4xy)dx+ (2x²+2y)dy = 0

The Differential Equation is Exact.

So applying Formula

int (m)dx + int (n :not contain x function)dy=c

Integrating Equation

(3x²+4xy)dx+ 2ydy =0

$3 \frac{ {x}^{3} }{3} + 4 \frac{ {x}^{2} }{2} y + 2\frac{ {y}^{2} }{2} = c \\ {x}^{3} + 2 {x}^{2} y + {y}^{2} = c$

Mark me as Brainlist