The general solution of the differential equation x²y" – 2y = Inx² is C1x=² + c2x – ln x – , O C1x² + c2x=l – In x + O cje-2r + c2e* – x + 5 O Cjevzr + cze-V2x + ax + b O + c2e¯* – x + - O + -! + C2e C1x² + c2x¬l + In x – , O

Q: The complementary function(C.F.) of the differential equation(D – 8)°y = sin 8x is (ci + c2x +…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: Form the partial differential equation by eliminating the arbitary from z=xy+f(x2+y2)

A: Form the partial differential equation by eliminating the arbitary from z=xy+f(x2+y2)

Q: The general solution of the differential equation x²y" - 2y = Inx is

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Q: ¬(D – 6)°(D+4)y = 6x is_

A:

Q: 7. What is the value of (X-2)2 for the scores 2,3,5?

A: To find : ∑X-22 for the scores 2, 3, 5

Q: Show that the transformation 2 = ln x transforms the differential equation 2 x ²³y" + Axy' + By=0…

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Q: Solve the Af Differential Equations I' city? +xy") dx t Cxy ty+ 2xy) &y ニ0 2.[ 2x + y copCxg] dx + y…

A: "Since you have asked multiple question, we will solve the first question for you.If you want any…

Q: The complementary function(C.F.) of the differential equation(D – 2)°y = sin 2x is_ O (ci + c2x +…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: a²u 3) əx2 dv 8- ду is a equation. 4) The order of a differential equation is the order of the

A: 3) Clearly the given equation is Partial Differential equation.

Q: 1. Consider the matrices A₁ 4 = ( 1 ) - 1 3 0 A₂ 42 = (3-2) ₁ 4₁ = ( 2² -2²), , A3 0 -2 These…

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Q: 3. [32] −1 4-3 4. 5. [. |_3 -4 2 1 2 -1 4,

A:

Q: Consider the differential equation y" - y' – 12y = 0. Verify that the functions e3x e4x form a…

A:

Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?

A:

Q: dy 2x dx = 3xy + y? ;y(1) =-2

A: dydx = 3xy+y22x2

Q: Let y'= 2xy²; y = a. (-4,4),(-∞, -4] b. (-4,4) c. (-4,00),(-4,4),[4, ∞) d. (-4,00),(4,∞), e. (-∞,…

A: Given,  y'=2xy2 and y=24/(x2-16)

Q: Which of the following differential equation has a solution of y = Cqx³ + C2x ? 3y = 4xy" + x²y' 4y…

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Q: What is the differential equation of the solution y = C₁e-9 + С₂xе-9x + С3e7* ? Oy" + 11y" - 45y +…

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Q: Classify the equation yʻuxx + 2xyuxy + 2x-uyy + xux = 0, and reduce it to canonical form.

A:

Q: 4y" + 2y" = e *(x' + 4) + 4e 2- 5x 4 9

A: In this question, we have to find the particular integral for the linear differential equation…

Q: Solve the linear Homogenous Differential Equations with Constant Coefficients: (D³ - 2D² – D+2)y = 0

A: We have to solve here given differential equation,

Q: (x² - 2xy+3y-7)dx + (3x − x² + y³)dy = 0 (2y + 1)dx + (x + 2) dy = 0. y' + 5y = e-3x

A: 1) x2-2xy+3y-7dx+3x-x2+y3dy=0 solve the differential equation differential equation is of the form…

Q: Find the solution of the differential equation system

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Q: 1/x + 3y = sinx/x² 1-2ye* = 2e* √y

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: The differential equation obtained by eliminating the arbitrary constants A and B from the relation…

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Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.