DE 1. (-x)y-4xy +5y = cosx 2. d²u d'u 2x² at³ 3. d³x 12 des -2 d²x +(4t-1). + sin t dt² 4. √1+ (v)³ = [2x + (v²) 4 du at 5. y'=1-xy+y² dx dt = = Int(x-1) TYPE ORDER DEGREE LINEARITY

Q: 218-x2 3/2 Ex-(7 Cメゴ) lydx

A: Given: ∫02∫x8-x2 x2-y232 dy dx

Q: Evaluate dy/dx at (-3,1) for x3+(7+xy)5/2=82/3+y2

A: Given:

Q: -1 d(sin¬' u) du/dx |u| < 1 ² %3D dx Vi – u

A:

Q: Q2/ if y = Jsec3 /sin+Vx+ x² 4. find y'

A:

Q: Find the d. c. of T from definition.

A:

Q: What is the derivative 7 of y = (3x + 1)²? 21 dx dy = 6 (3x + 1)²¹ dx = dy 6 (3x + 1)² dx = 7 (3x +…

A:

Q: Find dy dx X = 351 3 + b y = v 3 + t y V

A:

Q: Find y dx' 1. y (32x)³(x² - 2)

A: Here is the solution

Q: Suppose that you have $11,000 in a rather risky investment recommended by your financial advisor.…

A:

Q: What is exact solution for dy/dx =(x2+y2)/(x+y)

A: Given: The given equation is dydx=(x2+y2)x+y

Q: 2.2 dx + 2X dy = 2x°y°dy y

A:

Q: 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

A: I have stated the used formulas in the solution

Q: find dy/dx of x^5y-xy^5=1

A:

Q: 1. ſx3 tan-1x² dx (Integration by Parts)

A:

Q: x' +1 5. -dx x'(x-1)

A:

Q: General solution

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

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: Compute for dy dx cot(2x + ex) y = sec(2x + ex) · y = e²² csc(2x) + 2x cot (2x²)

A:

Q: Find dy/dx for x^2+y^3=sin(yx)

A:

Q: d 5. dx 3/2 3 (x + yy'). x² + y²

A:

Q: x' - 5 dx. (ii) Evaluate x' + 4x

A: