Ур (х) — А сos(3х) + Bsin(3a) + Cӕest + D is a particular solution of the nonhomogeneous differential equation Select one: O a. y" – 2y' – 15y = 2 sin(3x) + 5e5z +1 а. O b. y" – 2y' – 15y = cos(3x)+ sin(2æ) + 5e5z +1 O c. None of these O d. y" - 2y' — 15у — 2 sin(3х) + 5ze5r +1

Q: = Consider the initial value problem (2xy² D. + cos x cosy (a) Check whether the differential…

A: The given initial value problem is ,   2xy2+cosx cosydx+2x2y-sinx sinydy=0  and   y(0) =1 (.)  A…

Q: What is the general solution to the differential equation 2e* cot(y) dx – (4 + e*) csc²)dy = 0 ? (4…

A: Here, the given DE is: 2excot(y)dx-(4+ex)csc2(y)dy=0

Q: Find the general solution of the differential equation: d²y + 36y = 0. dx? y = C1 sin 6x +C2 cos 6x…

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Q: Guess the form of the particular solution (a) y" - 3y + 2y = et (b) y" - 3y + 2y = t²e²t 1

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Q: Determine the solution of the differential equation: dy 2x ly = (x² + 4)cos x with initial condition…

A: the given differential equation is: dydx-2xx2+4y=x2+4cosx the initial condition is: y(1)=0.

Q: "- ts' = 1- sin (t) (4) + xy" = e* dx 6x '– y²Iny = (y')²

A: As per guidelines we have to solve the problem. Please repost for other questions

Q: Solve the exact differential equation (In y - y sin x-6e³x) dx + ( + cos x + 5 sec y tan y - 6y)dy =…

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Q: Consider the equation 4y"+by'+cy=0 and the nonzero real constants b, c, m and n. If the general…

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Q: A differential equation ay" + by" + cy' + dy = 0 where {a, b, c, d} are constants has the roots of…

A: Topic :- Differential equation

Q: The general solution of the differential equation y" – 6y' +9y = 0 is | OA.y = e* (C1 cos 3x +c2 sin…

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Q: Solve the second order differential equations: 5 y (1) + 4y (1) + y (t) = 0 with y(0) = 4, y'(0) = 0…

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Q: Verlfy that y 9e** + 3e is a rolution OF y"- 18 y' t yso.

A: ***As per our guidelines, we are supposed to answer only one question at a time. Since you have…

Q: If the root of an auxiliary are rı = 2+3i and r2 2-3i, the differential equation is %3D Select one:…

A: We will find out the required differential equations for given roots of auxiliary equation.

Q: 8. Find the general solution of the differential equation "+9y=9soc²(3). Answer: y = cos(3x) + c₂…

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Q: Consider the differential equation 3y"+-2y = 2 cost %3D | Which of the following is the general…

A: We have to solve given problem:

Q: [y(4)]² + 4 y™ + 3 y² + 2y² = cos3x 2y¹ + (y)¹/3 + 3y = √5 O y + 4y" + 5y = lny"

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Q: Test Yourself 02 dy UTransform the following Bernoulli differential equation of the form + P(x) · y…

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Q: Consider the following differential equation y = y² - 2xy + x²-3 (3) a) Solve equation (3) applying…

A: …

Q: 1. a) Define order and degree of a differential equation with example. dy b) Solve: (x+ y)² =a². dx…

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

Q: Given the differential equation y"' + 7y" + 6y' = 10x sin(4x) Find the Differential Operator for the…

A: Topic = Differential equation

Q: Solve the following differential equation: y" + 2y +y = r

A: INTRODUCTION: The complementary function to the homogeneous differential equation…

Q: 3.b) Eliminate the Ar bitrary Constants in the equation B.a) Eliminate the Arbitrary Conatanta in…

A: Using differential equations. To eliminate arbitrary constant 1.differentiate given equation as many…

Q: If the function y = a,(1+3x +x + +) is a solution of the differential equation Ay'-3y 0, then what…

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Q: Find the solution to the differential equation that satisfies the stated condition. sin (5x + T),…

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Q: 1. (6x + f²)dx + f(2x – 3f)df = 0 2. (cos2f – 3x²f?)dx = (-cos2f + 2x sin2f + 2x³f)df 3. (fe*f –…

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Q: Solve the second order homogeneous differential equation y" -4y + 9y = 0 Select one: O a. e-2" (a…

A: From the given problem:   y''-4y'+9y=0   So, we can write as:   D2y-4Dy+9y=0D2-4D+9y=0   The…

Q: The functions plotted below are solutions to one of the following differential equations. Which pne?…

A: In a graph of second order differential equation, the part near the y axis corresponds to the…

Q: Find the general solution of the following differential equations: x²y"-3xy' + 5y = x² sin(Inx) b.…

A: Given :  a. x2y''-3xy'+5y=x2sinln xb. x4y'''-2x3y''-x2y'+xy=1c. y'=ex+y+x2ey To Find : Solution of…

Q: Consider the following differential equation y" + 4y/ + 5y = 0 Select the correct solution set to…

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Q: the differential equation: 3y' + 2y = = += se an appropriate particular solution. = (A + Bx) e* +…

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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.