8. Find dy dx' x+2x given y = u³ + 4, u = .2

Q: 2. d t'+ It dx

A:

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

A: According to the guidelines I am solving only first question

Q: (2xy) dx + (y²-3x²) dy = 0

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: 4X-) dx dy y2 ret -1

A: Given: ∫12∫-10ex2y-4x-1y2dxdy

Q: Find dy dx -, if y = 9u3 and u = 4x + 7. dy dx

A: y=9u-3u=4x+7dyndy=nyn-1d dy(constant)=0

Q: Find dy/dx given xy2 + x²y5 – x³ = 3 %3D -

A: Given that : xy2 + x2 y5 - x3  = 3. Find dy/dx . We know that d(xn)/dx = nxn-1.   Here i attached…

Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

A:

Q: Find dy/dx at the point (2,1) if 4y3-x2y2=0

A: Given that: 4y3-x2y2=0

Q: 5. (1-x) (dy/dx) + xy = xy". Ans. cy=(1-y)√(1-x)

A: Given equation is 1-x2dydx+xy=xy2. To find: solution of the given equation.

Q: 64 f(x, y) dy dx F(x, y) dx dy 64 - y

A:

Q: 1 X = (u +1)? dy ; y = u? + 3 -> dx

A:

Q: 2. f3dx 3. f*²4 dx

A:

Q: If yx^2 + y^2 = x, then the dy/dx is

A: Using derivatives formula.

Q: General solution

A: We have to find the general solution of given differential equation.

Q: dy 1+y2 x2 3. dx +y²

A: Given: dydx=x21+y2 For finding solution of given differential equation, we use variable separable…

Q: 22. (2xy +y) dx + (x² + 2xy + y) dy= 0

A:

Q: +1) xe' dy + dx 0. y

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: y = + 2x2, find dx dy and dx2 d'y

A: The given function is: y=1x3+2x2⇒y=x-3+2x2 Differentiating it w.r.t x: dydx=ddx(x-3+2x2)…

Q: Find the derivative of the function. y = x2e−x

A: Giveny=x2e−x

Q: d 5. dx 3/2 3 (x + yy'). x² + y²

A:

Q: = V 2 + 6e4x y' =

A:

Q: 6. 2 I (ve**)dx dy у /2

A:

Q: 1) dx x' V9-x?

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. a) If y = 6x - 5x +7x +2x – x+10, find dy at (2,3) i. dx d'y il. -at (1,-5)

A: See the attachment

Q: 2. y' (4x - y₁)² = 0 -

A: This is an ODE problem.