Solve the given LDE: y®) – 64y=D0

Q: Solve the following using exact equation or linear whichever is applicable. (x + y) dx + (x − y) dy…

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Q: Solve as required : Given : Z = 3x?y³ – 4x*y? From the given, solve the following: Əxðy dx²Əy 2. 1.

A: It is given that, z=3x2y3-4x4y2. 1. Find ∂2z∂x∂y as follows.…

Q: dp +t². dt For p(t) dw For w(u) = Vu - 2u? – 10, du

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Q: 1. y+13 dy-

A: the given integral is ∫y+13y+1y+3y-2dy Substitute  u=y-2→y=u+2du=dy the integral reduces to…

Q: r?= x? +y' Find dy

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Q: dy 2х %3D (Зу + x)— dx

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Q: Match the mathematical statement and the steps to arrive the correct answer of the given DE…

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Q: Given the e dz nd y, find ar

A: Given: xlny=zArctan3zy

Q: Determine whether the following equation is sep dy = ty – 2, y(1)= 3 dt

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Q: Use the equations to find əz/əx and əz/ây. e? = 8xyz %3D az %3D ax az ду II

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Q: Given that x- y2 = 9, then dy/dx =||

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Q: Solve Dipferential Eg. 3. dy dx 2xy' e +2xy +Y こ 2

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Q: Exercise: Apply V=mu and then (*y)=fcx)+ JCY) to solve the fellowing equation 2. 11

A: Given equation is, x2ux2+y2uy2=xyu2.....(1) And,  v=lnu....2vx,y=fx+gy.....3 Aolving equation (2) we…

Q: NOTE: Enter the exact answer. yz dx dz dy -180 J–120

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Q: Find a solution of x dy =y?-y that pases du Through indicated points

A: For the given problem, below is the solution.

Q: Is a? y + y? a solution for 2 x y dx + (22 + 2 y) dy = 0 ? = C True False

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Q: Solve the following first order equations: (a) (x²y? + 1)dx + 2a²dy = 0, use the substitution ry =…

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Q: Consider the diagram below. If EI = 4d - 25 and LY = 5d + 7, what is the value of YM?

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Q: d?x + X = secy dy?

A: We have to find the general solution of the given differential equation d2xdy2+x=secy .

Q: y"-8y' + 16y 0; Y, = et e JP(x) dx xp- (5) as instructed, to find a second solution y,(x).

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Q: Solve for h: rh 22. Then rewrite 2ar? + 2arh in terms %3D of r.

A: Given πr2h=22value of  h⇒h=22πr2

Q: solve the bondry value prablem (D2,36/y= Sinbx given ylol0 मि हि

A: See the attachment

Q: Given that y = dx dy 3u?, : 5v² and v = 2x2. U = 8. Find

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Q: - one 2y(y? – x)dy = dx

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Q: Given a: 5 In(t) and y = 25 t2 then find %3D dy (Write the simplified answer) dx d?y |3D dx?

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Q: Use the equations to find az/əx and əz/ðy. e? = 8xyz %3D az 1 1 az ay %3D y

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Q: Write the given Bernoulli equation in standard form and Solve the equation t2 + 3y? y' t > 0. 2ty

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Q: (y2+yx)dc+x?dy=0

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Q: 3x'y"+2xy' = 0 %3D

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Q: e-SP(x) dx Y2 = Y(x) (5) as instructed, to find a second solution y,(x). y" + 2y' + y = 0; y, = xe*…

A: We will find out the required value.

Q: +2D+2)y = e csc x

A: Solution: (D2 +2D +2)y = e-xcsc(x)

Q: Obtain the general solution unless otherwise instructed 3. (D² – 3D + 2)y = e2*(1+ e2x)¯1 SUMMARY OF…

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Q: t? y" + ty - y = vT %3D

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Q: A. In each exercise, obtain the family of solution. 3(3x2 + y²) dx – 2xy dy = 0 %3D 1.

A: As it is a multiple type question, so according to the company policies, we can solve only the first…

Q: (c) Repeat part (a) using midpoints. M3 = %D M6 =

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Q: dx + y²x = x?y dy

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Q: The solution of the DE (1+ cot²x)y' = cscx coty is

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Q: Mxy'+ (1-x)y xe* %3D

A: The general form of linear differential equation of first order is,    dydx+Py=Q…

Q: Given z = 1le lle*y® , find 10 dz dz dy

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Q: Given a = 6t + 18 and y = 27t2 +146 %3D %3D da (*) dt %3D dt dy (write the simplified answer) %3D da

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Q: Which conclusion does the diagram support? ZY A. %3D XX MA В. %3D M- XNM C. O D. VY = W X

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Q: Find the point (x, y) of x² + 14xy+ 49y? = 100 that is closest to the origin and lies in the first…

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Q: Use the equations to find dz/ðx and dz/ðy. e? = 4xyz 4yz az 2 - 4xy %D ax 4xz Əz ду 2- Axy

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Q: (b) dr(x -y) dy, where y, = Va? – x?

A: Multiple integrals

Q: Given (x + 6y? ) dx - 4xdy = 0, when x = 1, y = 1. Find the particular solution.

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Q: Solve the equation (1-y)e + dy

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Q: solve fos given, dy 2. -2t "ट +-

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Q: Solve the diffedential equation 2 e ys + y de ]dy-o

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Q: Given a = 6t+ 18 and y 27t2 + 146 %3D da tf (*) dt cion dt dy (write the simplified answer) %3D da

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