Given the condition, find the general solution to dy da O a 2y=clny² O b. 2y +In(cy)² = x² o c. y= ce*2 O d. 2y = cr² MENENG xy y+1' y(x) = 0 Vx

Q: What is the value of e*dx? Select one: O a. 1 O b. 2 O c. The integral diverges. O d. e 8

A:

Q: the solution for the I.V.P. dy -y-Y dx y(0) = 1 is Select one: O a.

A: Here we have, dydx=y3-y,   y(0)=1

Q: If y= X In x, Find d'y

A:

Q: SSo+ + y+z) dz dy dx 0.

A: Triple integration is used to find the volume.  Use power rule of integration

Q: (x² + y² ) dx – xydy = 0 O 2y = x In cx² O y? = x² In cx²

A:

Q: If /x+Vy=1, find dy dx Vx AO Vy .BO Vx CO y DO

A:

Q: Find dy. y=3 In (2+x²)

A:

Q: Evaluate In(y+2) e dx dz dy. 90/53 151/60 75/22 101/24

A:

Q: 3. Find and and y= ivative of

A:

Q: 0. Given that 15x V x2 + 4 dx = 25/5 - 40, what is 15uV u? + 4 du?

A:

Q: Bernoulli dy + xy = dx y # 0 уз

A: The objective is to find the general solution to the given differential equation

Q: 2 dxdy

A:

Q: dx 1. 1+x¹ et, 2. f dx e²+e~x 3. fxsec² x dx

A:

Q: Solve: 2 0 -1 0 2 -6 1 -2 -3 -2 0 1 -5

A:

Q: dy 3 sinh y - 5 cosh y

A: Given, I=∫dy3sinh y-5cosh y

Q: If x = yz and y = 2 sin(y + z), find dx/dy and d2x/dy2

A: Solution -    Given equation -  x=yz           .............................(1)y=2sin(y+z)…

Q: 2. dy = y[sinx + In (yecosx)]dx

A:

Q: 3 dy dx • Find given y = + 10 and u = x+1

A:

Q: 77 fox) =?& gam - & gox) then find theo %3D %3D X-3 Jolut ión of thin ineg/ualit, (fog)ca) < 2.

A:

Q: dy Find for y=7x sin x+14x cos x-14 sln x. dy

A:

Q: 3. For each problem find : dx 5x3+xy? = 5x³y3

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: 9. Inly + x| = 2x, find Answer must be in explicit form. 10. z = xe*, find dx2 or S

A:

Q: Find yyy and y = x³+6x-25× y = 3 sinx 34 y = e + lux d you) of:

A: Step 1: SolutionWe have to find y′,y′′,y′′′ and y(4) of the given functions.(1): y=x5+6x4−25x(2):…

Q: dy 2. if y = In(x² + 1) Then at x=1 %3D dx 2- 2 In 2 2- 1 1- 4- 1/2

A:

Q: Calculate dy xy + x = 12; O A. 3 O B. 9 O C. -3 OD. -9 using the given information. dx dt =-3, x=2,…

A:

Q: 1. §. §' 5/2 . S x*dxdy (x² + y² )*/2 y 36

A:

Q: Solve for if y- Ina 2- y?. da MCQ3.pdf dy 2y +1 dx dy 2y +1 dx dy dæ -(2y+1)x 1 dy (2y+ 1)a TERIRS…

A:

Q: Integrate TT y 2 x² dy dx.

A: To integrate ∫13∫24yx2 dy dx.

Q: dy 7. Jaye20 sin x dx 8. S 12-cosx 3y²-2y+1 -dy 9.

A:

Q: dy 2xy x² + y? dx ,2

A: I am attaching image so that you understand each and every step.

Q: cln 2 In 5 e2x+y dy dx Jo 1

A:

Q: dy Find the solution of the Bernoulli's equation x + 6y = 3xy4/3. dx 1 1 а. у b. y (x2+cx)3 (x+c)3 1…

A: We solve by Bernoulli's equation.

Q: What is the general solution / (x-yes c²-xcot ) dx + (xese ² ½ ) dy = 0;y (1) - F =

A: As all term can be written yx form so given differential equation is in homogeneous form .  We need…

Q: dy 3) Find ª½ for y = e¹º + xª +e*

A:

Q: If x u(u – 1)2 and y = (3u - 1)², then what is the value of dy/dx

A:

Q: euse Euler methed to Sw lve y'= x+3y nez

A: