Problem #2: Evaluate the following integral, J (« - 49) dx – 10,2 dy where C is given by x = y² + 3 from (4, 1) to (39, 6). %3D Problem #2:

Q: How do I get 2y*dx/dt + (-4xy + y' * x^2) = 0 and y' = (1/ x^2)(2xy + y - 1)?

A:

Q: 4x +1 = cos y?

A: According to guidelines we should have been able to solve only one question at a time

Q: zy" +y - 2y - 0, k- 4, zo - 1.

A: Note: The coefficient of the third and 4th power of (x-1) is incorrect in the given answer. We are…

Q: Q5) d^3y/dx^3-5d^2y/dx^2+7dy/dx-3y=20 sinx , y(0)=-1    y(0)=2

A: the given differential equation is  d^3y/dx^3-5d^2y/dx^2+7dy/dx-3y=20 sinx y(0)=-1    y(0)=2

Q: dy/dx and d^2y/dx^2

A: Here; x=e-7t+2 .................. .......(1) y=6e2t+e-3t-4t   ......................(2)

Q: 29. 1 + dx + /2r

A:

Q: Solve the intial value problem: dy/dx=[y(y+sinx)] /  [1/(1+y^2)+cosx-2xy]  , y(0)=1

A:

Q: d 7+6os(x-2)]-4(x+5)=65+(x+7)³ dx dy 2y dx d dx 3 d dx 3 dx dx d 3 4 dx | + |x³ — cos(x+− y ²) +…

A:

Q: 5) Find y' if x + cosy = Vx + sinx + xy – 1

A: Given

Q: Hi, I don't understand the reason why (in the screenshot below) the integral was transformed into…

A: It is difficult to integrate the problem directly. To avoid the complexity, u-substitution method is…

Q: 29.

A:

Q: d²y dx² + 12 +35y = sin(2x), dy dx

A: Given differential equation:- d2ydx2+12dydx+35y=sin2x