5(y + 1) = – 37

Q: -3dy 6. zy2+14y+70

A:

Q: Find the 2nd solution by reduction of order. y" - 4y + 4y=0; y₁ = e²x

A: Here given the differential equation as y''-4y'+4y=0 .......(1) And it's one solution is y1=e2x

Q: 1 5earctan(y) dy -1//3 1+ y2 3 1+ у2

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

A:

Q: Find Hhe (imet 3. 3. im +y²+xy

A: Explanation of the answer is as follows

Q: тахz %3D 2x + у S.t х+у<60 2х + у 2 40 y < 30 х, у 2 0

A: Linear programing is a mathematical techniques to optimize solution of given constraints.

Q: Solve the dff oq 2. 3. 3. %3D 1

A:

Q: a) Give a particular solution for y" – 2y' + y = 3e*.

A: According to company rule we can answer only first question and rest can be reposted.

Q: b) - 2y dy

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

Q: 4. Is y = 5e-+7x e-2 a solution to the ODE y"+4y'+ 4y = 0 ?

A: The given solution is  y = 5e-x +7x.e-2x To verify it we will differentiate it

Q: y = In(x + 2) at [-1,2]

A: The given problem is to find the interpolating polynomial for the given function within interval…

Q: 32 8y%dy y-15 2.

A: The given integral is,

Q: Find the general solution of y’ + (1/3)y = exy4

A: We have to find the general solution of the differential equation y'+13y=exy4 .

Q: 12 - y+ ] - dy = |+C

A:

Q: 3. 31 √ √(²x- (2x - 4y)dydx 1 -1

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Q: (4x-3) find dy/dх y = (2х-7)6

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Q: (2x+1)y' =e", with y(0)=0.

A:

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: د؟ لر ول 3 y3 Xe dydx

A: We have to integrate the function fx, y=x3ey3 within the given limits of integration but the…

Q: (10 – 6y + e-3=) dæ -3.z 2dy = 0 -

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

Q: Find a general solution of y"- iy'+6y= 0.

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Q: Find the general solution of y" – y' – 2y = cosh 2t.

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Q: 4. Find dyax and d2 x =V4- t , go t²-2t ye t'-2 get'.

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Q: 1.y =z+1

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Q: 1. . 2 y² +4 - dy y

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Q: 5-1. y" - 4y + 4y = t³e²t, y(0) = 0, y'(0) = 0

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: 5- Find the particular solution for: 2e2x – y = xy', x = 1 when y = 6 %3D

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Q: S(2 + e2*)³dx

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Q: z = 2 24 z=Vx² + y² 2 FIGURE 9

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Q: :Q3 Classify PDEs below и ди y2 и + и = ue 5x — - ду

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Q: Qs) y" + 3y' + 2y = e* – 3

A: See the details solution in below

Q: 1l y" + 4y' + 4y = e-2x %3D x2

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Q: y³dy 2. S. (a²-y²)7

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Q: + d²z Oy2 = 0;

A:

Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

Q: 17. zdy + (x sec² () - y) da = 0

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Q: 4-y² ²) dædy 2 2

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Q: 29. t²y" - 4ty' +6y=0, t>0; y₁(t) = t²

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Q: In x y of y = 3

A: Find your answer below

Q: Find the particular solution of: y' – 4y = x²e* that satisfies y(0) = 2.

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Q: 2. Obtain the particular solution. y"-y'-6y=0; when x=0, y=2,y'=1

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Q: a. Find that solution of y' = 2(2x-y) which passes through the point (0, 1).

A: SINCE YOU HAVE ASK MULTIPAL QUESTION, SO WE WILL ANSWRING ONLY FIRST QUESTION.

Q: 2x+y-52 +l =. X-y+ 2-6= 0 4x+zy-32+8 =

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Q: 3 1 (x + 2y)dydx -1 a) 5 b)7 O d)-:

A: Please check step 2 for solution.

Q: 3 18. z= 19. y= Vx(x-1) 3x-1 20. y= 2x+1

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Q: Find the general solution of y" + 2y=ex +2.

A: The Auxiliary equation is D2+2=0 solve for D Therefore  D=±-2=±2i Therefore the solution is…

Q: y = (2x + 1)v2x+1

A:

Q: 18.t2y′′−4ty′+6y=0,t&gt;0;y1(t)=t2

A: