3. (D² – 7D + 6)y = 3x² – 2x + 5

Q: The solution of x²dy + xydx = 0 can be obtained by the method of a. Separation of variables b.…

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Q: Find a particular solution to the differential equation below that passes through the point (−3,−5).…

A: The given differential equation is y’ = 5x–5.

Q: y = ce2t + Cze -3t y = ce-t/2 + cze¯ -2t

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Q: Find a differential equation that has a solution which is: w=50(1+exp(-t/50)) Show complete…

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Q: y" +9y' = 9 tan 3x

A: The solution is given by using method of variation of parameters as follows

Q: Your answer is correct. Find a differential equation whose general solution is = = C₁e⁹t + c₂e-³t.

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Q: +xy+(x-9)y=0 2 4 2.

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Q: x’y" -2xy +2y=x 2

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: dy Q-2. Solve the differential equation by direct method dr 1³ + 9x² + 27x+ 27

A: Given differential equation dydx=1x3+9x2+27x+27 It can be written as dydx=1x+33 ⇒dy=1x+33dx…

Q: Find the solution of the given Differential Differential Equation using any method. make sure to…

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Q: Solve the differential equation using the Method of Undetermined Coefficient. Show your solution.…

A: Consider the differential equation,         (D² - 5D -6)y = 18x² + 12e2x

Q: Find the general solution of the Differential Equation. Indicate which rule you are using. y'' -…

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Q: The maximum number of rabbits, R, that an area can support is 100, there are currently 20 rabbits,…

A: A detailed solution is given below.

Q: determine an appropriate trial solutionfor the given differential equation. Do not solve for the…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: y" + 8y %3D 2х — 5 + 8e-2x ; у(0) — -5; у'(0) — 3; у" (0) — —4

A: The given differential equation is: y'''+8y=2x-5+8e-2x ;           y(0)=-5,  y'(0)=3,  y''(0)=-4 The…

Q: 7. The particular solution of (D³ - 5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

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Q: y' + 5xey = 0

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Q: 3. y"-3y" +3y'-y=x-4e*

A: y'''-3y''+3y'-y=x-4ex for the homogeneous system, the auxiliary equation is  r3-3r2+3r-1=0 r-13=0…

Q: Find the particular solution to the differential equation y - y - 2y =- 2e when y(0) = – and y (0) =…

A: The characteristic equation of the given differential equation is m2-m-2=0. So,…

Q: solve the for the general solution of the differential equation( linear homologous equation): (D6 +…

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Q: solve differential equation y´+2y=4x y(0)=0

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Q: THE

A: Please refer to the image below

Q: 2. x³ydx+(3x² - y³ )]dy=0

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Q: What is the differential equation of the solution: y = C1e-9x + C2xe-9x + C3e7x choices: (see…

A: We will solve the problem

Q: | f(t)f(t – t)dt = 6t³

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Q: (D² -1)y= 2(1-e-2*)-1/2

A: By Using  variation of parameter

Q: ydx+(2x1/2y1/2-x)dy=0  solution of differential equation

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Q: Hey please reply as soon as posible If it is known that the function y1(x) = x2 is a solution of…

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Q: 3. Solve the differential equation by variable separable method (1+ y") (3a² + 6) dy 9- dr 13 + 6r

A: dydx=91+y23x2+6x3+6x

Q: -3 (f) -2 2 please convert to 2nd Order Ordinary Differential Equation and then solve.

A: Let A=-35-22 We will use : DI-A=0 where D=ddt Now,  DI-A=D1001--35-22=D+3-52D-2…

Q: (D² − 3D + 2)y = 2e¯* +8

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Q: 6. If y = x (In x), find d²y / dx².

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Q: a. Find a particular solution to the nonhomogeneous differential equation y" +4y' + 5y = -10x + 5e…

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Q: Find the general solution of the differential equation except when the item stipulates otherwise.…

A: The solution is given as

Q: (D² -1)y=2(1-e-2x)-1/2

A: Given differential equation is D2-1y=21-e-2x-12. To find: solution of the differential equation.

Q: Differential Equation Solution 1. x² + y² = Cx 2xyy' = y² – x²

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

Q: Q-3. Solve the differential equation by variable separable method dy + xy dx = 9xdx

A: To solve the given differentiable equation by variable separable method.

Q: -3x y"+3y' 5e* +18x -6x+9.

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Q: Solve the differential equation by variable separable method dy (1+ y) (3x² + 6) = 2- dr 13 + 6z

A: To find- Solve the differential equation by variable separable method dydx = 21 + y23x2 + 6x3 + 6x

Q: (D²-1)y=2(1-e-2x) - ²

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Q: At what point of the curve y = x3 + 3x are the values of y’ and y” equal? (SOLVE BY USING…

A: This is a basic derivative problem where we need to satisfy the given condition

Q: Example :- Solve the following differential equation where d²y + y = 0 dx2 Subject to boundary…

A: As per the question we are given a second order linear homogeneous differential equation with…

Q: Find the general solution of the differential equation y" +2y-35y = -113t + 70t. NOTE: Uset as the…

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Q: x4y'+x3y=y-3/4  and  y3dx=(2xy2+x3)dy  solve differential equation.

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Q: 4 (10x3 + 15x² -7y2 - 14xy )dx tx(Sx?- 21y²) dys0

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Q: Solve the given differential equation by undetermined coefficients. y" + 2y' = 2x + 3 - e-2x

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Q: dP Р 2P (1- dt - kP 25

A: dPdt=2P1-P25-kPdP2P1-P25-kP=dtdPP2-k-2P25=dt12-k1P+2/252-k-2P25dP=dt