Solve: (æy – 1) dæ + (2² – xy) dy = 0 O 2xy – In a? –- y? = C O 2xy + In x2 + y? = C O 2xy + In æ² - y? = C O 2xy – In a? + y? = C

Q: Solve: ()* +1 y In z 6x In a+ 2x = 9y + 36y + 18 In y + C O 6x* In z – 2x = 9y? + 36y + 18 In y+ C O…

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Q: Solve : t -4t y"+2y - Sydt e s(t-3) yco) = 0 y'co) = 0 %3D

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Q: on from the point (1,-1) is the instantaneo 2,2 Oxʻy – 13y° equal - 19?

A: Given:- fx,y=6x4-10x2y2-13y3

Q: O': what is the general solution of the equation. dy dr xy

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Q: 13. Solve the DE t°y" – 3ty + 4y = 0,t > 0

A: Given differential equation is  t2y''-3ty'+4y=0

Q: Solve IVP using the Euler's substitution: 4 ÿ' = [_† !]ÿ, y' y(0) = [²]. Solve using the method of…

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Q: solve the DE y'' - 5y' + 6y = 32xe2x, y(0) = 1, y'(0) = 0

A: *Concept:- the give differential equation is Linear differential equation of higher order with…

Q: y'" — 7y' — бу = 0

A: Solution :- This higher order differential equation can be solved simply by using complementary…

Q: 4. (D² + 2D + 5)y = 4e-*cos²x

A: Given differential equation is: d2ydx2+2dydx+5y=4e-xcos2x Auxiliary equation corresponding to given…

Q: Solve (x² + 4)y' = 2xy In|x] = In(y? + 4) +C O Option 1 Inlyl = In(x² + 4) +C

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Q: A. Solve the following DE by using exact equation method: y = x - y,

A: The given differential equation is dydx=x-y ⇒x-ydx-dy=0 ⇒M=x-y and N=-1⇒∂M∂y=-1 and ∂N∂x=0⇒∂M∂y≠∂N∂x…

Q: constat Solve by ussag alktytb(x)+ abt +c me thed of abbritrseky

A: Partially Differentiating with respect to x, ∂u∂x=a+b ---(1) Partially Differentiating with respect…

Q: The solution of the DE (4xy -3)y' =-2y² -1 is 2xy² + x – 3y = c O None of these 2хy? - х - Зу 3 с…

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Q: with solution Final dy वर di dr-/2cset-1 de lesct. +2

A: We have to find out derivative

Q: a) Find the general solution of the equation dªy dy dx² 4- x2 + 3e* - dr4 by using the method of…

A: As you have posted multiple parts,but they are independent so according to our guidelines we will…

Q: Find the General solution Use method of undetermined coefficients. 1. (D² l)y=ex (2sinx + 4cosx).…

A: To Find: the general solution using the method of undetermined coefficients   1. D2-1y=e-x2 sin(x)+4…

Q: 13. Solve the DE t'y" – 3ty' + 4y = 0, t > 0

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Q: d?y dx3 Solve - 27y=0 O a. y = ce -3x + e7*(c2cos- 3/3 x+C3sin 3/3 -x) 2 Ob. OBy=c,e3x +e"(c,cos 33…

A: We have to solve given problem:

Q: 1. 3(3x² + y²)dx – 2xydy = 0 -

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Q: Solve: (2a? + y) dæ + (x²y – x) dy = 0 O 4x2 + 2y + xy? = Cx O 422 – 2y – cy? = Cx %3D O 42? + 2y –…

A: We need to solve : (2x2+y)dx+(x2y-x)dy=0

Q: Solve (D2 – 2)y =0 O a. y = cqevZx + c2e¬vZx O b.y= "(c,cos/2x+ c,sin/2x) O c.y = cqevZx+czxe¬VZx O…

A: The equation D2-2y=0 represent y''-2y=0 . Consider the solution of the differential equation is in…

Q: Solve: y/" – 4y" + 53y = 0 O y = C1 + C2e cos2x + C3e-7* sin2x 7x O y = C1 + C2e cos2x + C3 e7"…

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Q: Solve numerically Au = 0, u(0, y) = 70, u(3, y) = 0, u(х, 0) 3D 10, и(х, 3) —D 90, 0<х <3 0 < x <…

A: Given that: ∆u=0,…

Q: 3) Solve y"-4y't13y y0)=-l sy'co)= 2

A: The given differential equation is                                                     y''-4y'+13y=0…

Q: Solve for for the equation y = aln(x + )+ 4tan(;)– 2x O a. T O b. In(4 + x) O c. none of these O d.…

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Q: Let y(x) be the solution for the DE : У 3 (х +у-1)2 If y(0) = 1, then find y() 8 - JT JT Зл 4 Зл -…

A: Here to solve the given differential equation first we change the variable y by a  transformation .…

Q: 3y = 3xy' + y'3

A: Solution: Here 3y=3xy'+y'3 Divide both sides by 3 y=xy'+13y'3   ......(1) Let dydx=P Then from…

Q: Solve using MUC: '-8y + 16y=2(x+12) 3 y= C, e^X + C,xeAX + 8. X- 2 7 3 y=C; eX + C,xe^* + 7 X- 2 B…

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Q: Q5. Use the method of undetermined coefficients to solve (a) y" +2y' + y = x²e¬ª. (b) у" — 2у/ + 5у…

A: We are entitled to solve only one question at a time. As the specified one is not mentioned, So we…

Q: Solve (1- x2)y" +2xy'-2y = 0 on (-1,1) given that y1 = x is a solution.

A: Let us consider the given differential equation P(x) y''+Q(x)y'+R(x)y=0 Then the solution of the…

Q: Solve y"-4y'+13y= yo)=-I ,y'co)=2

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Q: Solve: dz + 4x = yº O 11r¹y+y¹¹ = C O 1lry - y¹¹ = C O 11xy + y = C O 11x¹y - y¹ = C

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Q: Show that the equation Əy + 2k Əx? possesses solutions of the form 00 2 c, e-kt 1" =0 Σ cos (a, x +…

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Q: Reduction of Orders 7.y" – 4y' + 4y = 10xe2x %3D

A: Note:- As per our guidelines, we can answer the first problem of these problems. Please resubmit…

Q: 6y" – 7y' – 5y = 2x³ + e¯* – 5 -

A: Ordinary differential equation involves the derivative of single dependent and single independent…

Q: Find a particular solution to y" + 16y = 24 sec(4t). Yp |

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Q: dv Solve ax + by + c dx

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Q: Solve by the addition method: 4x+5y+: = 12 2x-y+2: = 17 %3D x+2y+2: = O A. (2, -1, 9) O B. (4, -1,…

A: We have to solve the given system by addition…

Q: 4. Solve y 3x 3y + 2y" e using undetermined coefficient. Show all the work.

A: We need to solve D.E.

Q: Use any method to solve the particular solution (D² + 9)y = 81x² + 14 cos 4x ; when x = 0 y = 0 y' =…

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Q: (24) Solve : (n²y = 2xy²) dn. - (n²³-3n² y) dy zo

A: Solution

Q: Solve dy dy dr? + y = 2sin(3r) dr using the method of undetermined coefficient.

A: We will solve by undetermined coefficient method

Q: Find a general solution to the DEQ w" + 4w = sec*(2t)

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Q: Solve: (D² + 5DD' + 6D²)z = (y – 1)e* + sin(2x – 3y) + 3x + y, where D =- and ax D' = y = 2 ду

A: Given partial differential equation is, This is a homogeneous partial differential equation with…

Q: Solve the nonhomogeneous ODE. y" – 10y' + 25y = x2ex -

A: Given equation is: y''-10y'+25y=x2e7x The auxilary equation is: D2-10D+25=0(D-5)2=0 D=5,5 SO…

Q: Solve the following DE: (2xy + 3x²) dæ + (2xy+ 4y) dy = 0 O a²y? + x³ + 2x?y? + 4y3 - 2xy = C O a'y?…

A: Solving the given differential equation

Q: Obtain the general solution valid near the origin: 8x?y" +10xy' -(1+x)y=0

A: Power series solution of the differential equation