Question

Verify that the given differential equation is exact (2x+3y)dx+(3x+2y)dy=0​

Answer 1

Answer:

1) (2x+3y)dx + (3x+2y)dy = 0

2) (3x^2 +2y^2)dx + (4xy +6y^2)dy = 0

3) (x^3 + (y/x))dx + (y^2 + ln(x))dy = 0

4) (x + arctan(y))dx + ((x+y)/(1+y^2))dy = 0

Please show all steps, here are the answers I just need to understand the work. Thank you

Answers

1) x^2 +3xy +y^2 = C

2) x^3 + 2xy^2 +2y^3 = C

3) 3x^4 + 4y^3 + 12ynl(x) = C

4) x^2 + 2xarctan(y) + nl(1+y^2)=C

Answer 2

Answer:

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