The general solution to the DE, (x^2+y^2-5)dx = (y+xy)dy, is * -0.5y^2/((x+1)^2) + 2/(x+1) + 2/((x+1)^2) + 2ln(x+1) = c -0.5y^2/((x+1)^2) + 2/((x+1)^2) + 2ln(x+1) = c -0.5y^2/((x+1)^2) + In(x+1) +2/(x+1) + 2/((x+1)^2) = c -0.5y^2/((x+1)^2) + 2/((x+1)^2) + 2ln(x+1)+ 1/(x+1) = c

Q: How would I solve this problem using the product rule?

A:

Q: How did you integrate (y^2/4)^2

A: We shall solve only the part where there is confusion/doubt as asked in the above question.

Q: ∫ln(7)0∫ln(7)0e^−(2x+5y)dydx

A:

Q: F"(x) = 6-18x, 0) = 9, 2) = 11 F(x) = 4x -3 +Ox+9 3p3 O Tyne h

A:

Q: Calculate (3+1 x3+x a) using partial fractions b) using the substitution w = x3 +x

A: a) Given : ∫3x2+1x3+xdx  By Partial fraction  First, factor the denominator, we get 3x2+1xx2+1 =…

Q: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

A: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

Q: ① -2) (7x 0 - 3x - 2 + 이승 이승 ② 1 ( + ex) 2 dx Hx2

A: (1)ddx(7x6+3x4−2x)

Q: Evaluate: [(5x* - 2х* + 3х - 4)dx

A: Evaluating the integral

Q: Find all solutions to the equation (D^2 − 3D + 2)y(x) = 2e^3x.

A: