ху+ 5у +2х + 10 6. 2ху — 10у — х +5 -dx + -dy = 0 2х + 3 у — 6

Q: Find dy/dt.

A: Given, y=9-4x3+2x; dxdt=-1,x=-3 To find dydt

Q: General solution of 2xydx+y^2dy=0

A:

Q: 6. S -3dy 2y2+14y+70

A:

Q: (du/dt)^3 – (du/dt)^2 – 2u = 0

A: Given: (du/dt)^3 – (du/dt)^2 – 2u = 0 Find : solve the differential equation

Q: Solve x′′ +6x′ +9x=1−u(t−3), x(0)=0, x′(0)=0

A:

Q: z1 = 2 + 4i Z2 = 5e2i %3D Z3 = 4 cis 40° %3D

A: The given problem is to evaluate and simplify product of given three complex numbers.

Q: b) - 2y dy

A: Integrate the following.      ∫y4-2y-4y-2dy

Q: 5. St V1-t dt

A: We solve this integration by substitution method by putting                         1 - t3 = u…

Q: Find S(-3e-3t + Vt)dt

A: Basic integration formulas are used. I have stated the used formulas in the solution.

Q: (2t+1)(2t-1) dt. 4. S

A:

Q: 26. у" + 4y' %3D sec 2x

A:

Q: Solve, (2x+3y-2)dx+(3x-4y+1)dy = 0 %3D

A:

Q: z1 = 2 + 4i 22 = 5e2i Z3 = 4 cis 40°

A:

Q: 9) (3x-29 +2) ex+(39-2*-2) dyzo

A:

Q: 2 3 dt. 0 1+t2

A:

Q: 1-x2 1+x 8. y = 9. V(x) = 5 + Vx 10. QUY) = Q0) = + %3D

A: To find the derivative of the given functions

Q: 2x Aegl ää Jas y(0.1) d y(0)=1 , h=0.05 y' = y - y

A:

Q: value of c in the equation: dV/dt = -500 (t+1)-2, when  V=700and t=0 is

A: follow next step

Q: 2zx-5Zxy-5zyy=0 Zx+4Zy+5Zy+2Z;-Z=x+5y Zxx+10zxy-4Zyy+4zy=0 5zx-4Zxy-4Zyy=3x+4y+13 Zxx+Zyy=0 О а.2 O…

A:

Q: yesin 3y dy csc 6y с бу CSC

A:

Q: S₂ (1-t) ² dt 2

A: Solution

Q: Solve du a²u k xe (0, L), t>0 ôu (0.1)- ĉu (L,t) = 0 ди (0,1): Əx 87x - 3 сos L 3n x u(x,0) =…

A: Given: The given heat equation is ∂u∂t=k∂2u∂x2, x∈0,L,t>0. ∂u∂x(0,t)=∂u∂x(L,t)=0

Q: 1. . 2 y² +4 - dy y

A:

Q: C. d. (3x + 2)(3x² + 4x)4 dx,u = 3x² + 4x [TV 7√7x − 1 dx,u = 7x − 1 -

A:

Q: /1- 7y² dy

A:

Q: What is the general solution of ху(ху5 - 1) dx + х?(1+ ху)dy3D0 ? A 2x3y5-3x² = cy? B 2x°y3 - 3x2 =…

A:

Q: 1°- 4+ 4r2 -4 dr Co T. (1²-1)(r²+2r+2)

A: Indefinite integration is the backward process of differentiation. Through integration, we find a…

Q: V3/2 6. dt VI - 12 1/2 1 + Vx dx 64

A:

Q: aпалyses). 3" a. an %3D 2n+2

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

Q: ze² dz (1+ x)* + C 1+ z

A:

Q: 1 2. S- 9y²+64 dy

A: Given: The integral is ∫19y2+64dy. Evaluate the integral.

Q: 4 + 2y - 16) dy =

A:

Q: 17. zdy + (x sec² () - y) da = 0

A:

Q: 3 2x y°e*dydx

A: To Evaluate the integral given below:-I=∫02∫04[y3e2x]dy dx-(i)Computing the definite…

Q: (2n Yn+2 + ) yn+1 ) Yn = (2n + 5)2" cos (") %3D 2n+3 2n+

A:

Q: Evaluate the integrals

A:

Q: {6} = I ( (b) T = [4,9) %3D (c) T = [-4,9] -

A:

Q: Solve by making the appropriate substitution

A: Given equation

Q: dt | sec? 3 3.

A: Given: An integral ∫sec2t3dt Integral of sec2x is given by∫sec2x=tan x+C. Using the formula…

Q: 2e-0.8t dt, n = 5

A:

Q: 5 +4y = 2 y(0)=1 dt

A: Given problem is:

Q: 2可 S dt 二2可

A: We can do the problem by doing simple integration and then putting the upper and lower limit.

Q: - 6х + 2у, dt dy -3х + 1у dt

A:

Q: 4. Solve the IVP: d's s(0) = 3,s (0) = -8 C. 20s = t5 + 160t + 60 D. 20s = t5 + 160t – 60 %3D %3D…

A:

Q: Evaulate: 2 1 pr+y (x)dzdydx 0.

A:

Q: du 103. dt Vř – i' 3 1> 1, v(2) = 0

A:

Q: UH = 19 FH = 5x-7 H. E %3D U

A: Given - A parallelogram(figure) To find - Value of x in the given figure

Q: 10 1 y = 5 dt y(0) = -1 = 2 ot

A:

Q: 2(3у-7) Зу-7 3y – 7dy + С 2. ans. Jx(1-x²)°dx - (1-х^2)6 + C 8 3. ans.

A:

Q: (2х — 5у + 3) dx — (2x + 4y — 6) dy %3D 0 а.) (2х + у - 3)? (х + 4у + 3) 3 с b.) (2х - у + 3)2 (х -…

A: