Which one is the fourth order differential equation whose solutions are  e^(3x),e^(−3x) and  xe^(2x) ? a-) z^(4)+4z′′′−5z′′−36z′−36z=0 b-) z^(4)−4z′′′−5z′′−36z′−36z=0 c-) z^(4)−4z′′′−5z′′+36z′−36z=0 d-) z^(4)−4z′′′−5z′′−36z′+36z=0

Q: Suppose a homogenous differential equation has a characteristic equation which factors as (r-2)^2…

A: A homogenous differential equation has a characteristic equation that has a factor r-22=0. To find…

Q: Given the differential equation 4y^(IV) - 45y" - 70y' - 24y = 0, what are the roots of its auxiliary…

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Q: 3. у'-4у+3у3D 2 сos x + 4sin x

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Q: Find the solution. 2y" - 3y' + y = 0 (A By = c,e 1- ©y = c,e Dy =c,e

A: Find roots of  characteristic  equation  of given differential equation .If roots are real and…

Q: Which of the following is the differential equation of the family of cubics defined by cy^2 = (x -…

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Q: (D^3 +4D^2 +9D+10)y=-24^ex; whenx=0,y3D0,y' =-4,y" =10

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Q: Which of the following most nearly gives the differential equation that is free of arbitrary…

A: The detailed solution is given below Thank you

Q: (4x'у — 15х? — у )ӑx +x* +3у? - х)dy-0

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Q: One solution of the differential equation y''+y'=0 is y=e^-x. A second linearly independent solution…

A: We will find out the required solution.

Q: Show the solution that y=(1+Ce^(x^6))^(-1/6) is the general solution of the differential equation…

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Q: A special solution of the differential equation ? ′ + ? ^ 2 + 1 / ? (?) −4 / ? ^ 2 = 0 Find the…

A: Step:-1 Given differential equation y'+y2 +1xy -4x2=0 ----(1) has a special solution y1=2x. This is…

Q: IN THIS GIVEN DIFFERENTIAL EQUATION, x²e5x (AX+B)E^5X a. b. (AX^2+BX+C)E^5X (АХ-B)E^5X C. d.…

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Q: Which term is included in the solution of the differential equation у" — 2у' - Зу — е" , у(0) — 1,…

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Q: Find the solution. (403+12D²+13D+10)y = 0. @ y=c,e+e>(c,cosx + c sinx) +c,sinx) -3x y =…

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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: Determine which of the following is the particular solution for the differential equation…

A: Given: (D2-D+2)y=12x2+18x+6e2x To find: Particular solution for the differential equation.

Q: y² = Ax² + B sec x

A: Given equation: y2=Ax2+BsecxTo find: General solution by eliminating all the arbitrary…

Q: Which of the following is the general solution to the equation (2x+9)y" +(2x+7)y-2Y3D0? O a. y=c_1…

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Q: The math problem is (3xy^2-2y^3+3)dx = (-x^3+6xy^2-2y)dy  I believe this is a Exact Differential…

A: We have to show that given differential equation is either exact or not.

Q: Solve for the differential equation of the given function y = C1x + Cze* by applying elimination of…

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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.