Recent content by rsera

Homework Statement A helium balloon is used to lift a load of101N. The weight of the envelope of the balloon is46.5N and the volume of the helium when the balloon is fully inflated is31.5m3. The temperature of the air is 0°C and the atmospheric pressure is 1.00 atm. The balloon is inflated with...

Yes! I fixed that and now my answer matches theirs! Thank you so much!

The book has: 20x = 4y-1 + c(y+1)^-4 After working with it some more, I got: 20x = 5y-1 + c(y+1)^-4 For ∫y(y+1)^3 dy I used u = y and dv = (y+1)^3; so, du = 1 dy and v = 1/4(y+1)^4 So I got: ∫u dv = y * 1/4 (y+1)^4 - 1/20 (y+1)^5 + c Back to the DE, we have: (y+1)^4 * x = (y)*(1/4)*(y+1)^4 -...

Thank you for the welcome and the reply! You know, I had thought about doing that after I posted, but wasn't sure if that was the right way to approach it. So, if I switch them, I get the standard form as: dx/dy + [4/(y+1)] * x = y / (y+1) So my integrating factor is: e^∫P(y) dy ; P(y) = 4 /...

Homework Statement Find the general solution: (y+1) dx + (4x - y) dy = 0 Homework Equations dy/dx + P(x)y = Q(x) (standard form) e^(∫ P(x) dx) (integrating factor) The Attempt at a Solution This exercise is in the chapter on linear equations, making non-exact equations exact. So I know I...