a. y = C,e=x + Cze-2x + x

Q: Find the differential equation whose solutions correspond to the following equation 1. y = C,e¬* +…

A: Apologies. We only answer one question at a time. We will answer question 1 as the exact one wasn't…

Q: y" – 2y' + y: [12x – 4]e-Sx %D -

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Q: Solve the differential equation using Method of Undetermined Coefficients and by Inspection. (D³ +…

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy 7xe',…

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Q: solve the differential equation p2-7p+12=0,wherevp =dy/dx

A: First solve the given quadratic in p i.e. p2-7p+12=0 by splitting the middle term in such a way that…

Q: 3xy? dx t (3x?y t qy% )dy

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Q: y= C,e*+ C2e¬x

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Q: y(4) + 2y" + y = (x – 1)?

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Q: y = C¿e* + cze¬× + 3x

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Q: xy メy = x2++? dメ

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Q: Solve the differential equation dr + x² + y², dy = 0. r² + y? y?

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Q: Use the fact that /2 i = 2 2 /2 2. 2 2 V2 - i = 2 /2 and - 2 to solve the differential equation d'y…

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Q: Find the differential equation having the solution as of the following b. (x – r)? + y? = r²

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Q: Solve the differential equation by variation of parameters. 1 y' + 3y' + 2y 6+e*

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Q: Solve the differential equation, subject to the given initial condition. dy + 4y = 5x²; y(2) = 21 y…

A: we need to solve the given initial value differentialequationxdydx+4y=5x2  ; y(2)=21The solution is…

Q: Find a general solution for the differential equation with x as the independent variable y " -…

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Q: Find the differential equation associated to the equation: y = Ce" +C,e" - 5xe 1. 2. y = Cx'e +C,xe.

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Q: yJzスこナる dy t xJ (A ZXZ+3

A: given differential equation is variable separable differential equation we will first separate the…

Q: Solve the given differential equation by separation of variables. dp = P - p² dt et+c P = _t+c X

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Q: m = -2+3i, -2 - 3i y' +6y = 24 y"- 36y = e*

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Q: Find the solution of the differential equation 3 – 2ry? 2x2y + 4 dy %3D dr

A: *Concept:- Use the Exact differential equation concept for solving the given problem.

Q: Solve the differential equation dy/dx = (1 + y) ex , y 7 -1.

A: Consider the following differential equation: dydx=1+yex11+ydy=exdx Integrate both sides of above…

Q: Find the differential equation whoce is y= C1e-1% + solution = Czc-9x. + C2e 6x

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: Determine the solution to the differential equation given by: y'' + 3y -10y= 0

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Q: Find the degree of the differential equation: (y")^2 + (y")^4 + y' + 2y = 0.

A: we have to find

Q: Solve the Differential Equations by Inspection (40xy-21y*)dx– (35xy³-20x²+20x?y-14xy*)dy=D0

A: The given differential equation is: 40xy-21y4dx-35xy3-20x2+20x2y-14xy4dy=0   …* Here  M=40xy-21y4…

Q: 8. x csc ) - y] dæ + xdy = 0

A: Given the differential equation

Q: Tx?+y?)dx + 3xydy

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Q: Find the solution, using variation of parameters, to the differential equation (D3+D)y = sec2x.

A: Given :- The given differential equation is  D3 +Dy = sec2x Let the equation be  d2ydx2 +Pdydx+ Qy…

Q: Solve the differential equation , where y, is known solution dy = 2x + dx y-2y, Y = x.

A: Given differential equation dydx=2x2+1xy−2y2......1 This equation is a Riccati  equation. Compare…

Q: Find the general solution of the given differential equation: 3t?y" + 7ty' + 10y = 0 %3D

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Q: y= C, e + Cze-2+

A: Formation of the differential equations

Q: Find the differential equation whose solutions correspond to the following equation a. y= Cje*+ Czex…

A: Compare the solution of second degree equation whose two roots are distinct. y=C1em1x+C2em2x

Q: Find the differential equation having each equation as general solution. 7.) y= x + C,x + C,e 11.)…

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: (D3 + 5D2 + D)2²y = 0 y(0) = 3 y'(0) = 2 y"(0) = 8

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Q: solve the differential equation and express final answer with the value of C (3x^2 +y^2) dx + 2xydy…

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Q: Find the differential equation whose solutions correspond to the following equation 1. y = C,e¬* +…

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Q: Find the solution of the differential equation using L.T: y'(0) = 1, y(0) = 0 y" +9y = 20e-t

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Q: -2JX e dx =1, y (1) = 1 dy | %3D

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Q: Solve the differential equation by undetermined coefficients: y" + y – 6y = 2.x.

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Q: Solve the differential equation using Method of Undetermined Coefficients and by Inspection. (D³ +…

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Q: Find the differential equation whose solutions correspond to the following eq 1. y = Ce¬* + Cze²x 2.…

A: We need to find the differential equation with the help of given equations. This can be evaluated as…

Q: (Dª – 16D²)y = 0

A: Differential equation: - The generic solution is one that comprises as many arbitrary constants as…

Q: Find a general solution for the given differential equation with x as the independent variable. у" -…

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Q: Convert the differential equation to a Bessel equation by y = √xu, z = x³. then solve it. y" + 9x¹y…

A: Given That : the differential equation is  y"+9x4y=0y=xu To find : convert the differential equation…

Q: dx + 2xydy: こD (6x²+y²)

A: follow the procedure given below.

Q: State the order of the differential equation and verify that the given function is a solution. (1 -…

A: It is given that, 1-t2y''-2ty'+2y=0, yt=t. Now, Differentiate yt=t as follows: y'=1 and y=0.