Which of the following is the general solution of the differential equation In()- x²+e5x) = -2y ? a. -c e?y x3 5x C 2 3 5 e2y b. 2 5x + C C @ 2.x с. 2 e 5y + C 4 5 e2y d. 2 5x = C e. None of them

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Q: The complementary function(C.F.) of the differential equation(D-6)ʻ(D+4)y=6x is O (c1 + c2r)e + c3e…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: тен Solve the following differential equations Using D-Operator SITT 804 1.(D² - 2D-8)y = 6Cash 4x…

A: 1) The given differential equation is: D2-2D-8y=6cosh 4x The corresponding auxiliary equation is:…

Q: 7. Solve the differential equation: d3x d?x +11 = 3e-2t %3D dt2

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Q: D² - 4D + 4)y= e²x sec²x (by Reduction of Order)

A: Solution :

Q: Classification. Determine whether the following differential equations are linear or nonlinear.…

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Q: Solve the differential equation d4y/dx4 +  10 d2y/dx2  + 9y = 0

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A: Differential equations are given, we have to find it is linear or non-linear

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Q: Which of the following equations is NOT a variable separable differential equation? A. 2xydx + (x² +…

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Q: Determine the general solution of the following differential equation: (D²-4D+4)y=(6e2x)/(x4) O A. y…

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Q: (x? + 2ху — 4y?)dx — (x? — 8ху — 4y?)dy %3D 0

A: Given, x2+2xy-4y2dx-x2-8xy-4y2dy=0....(1) Let, y=vx then, dy=vdx+xdv Replacing the above values in…

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A: Let's find linear differential equation.

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A: The given differential equation, D4-4D2y=36

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Q: Find the general solution of the differential equation 8d2ydx2-6dydx+y=2x+40sin x

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Q: Which of the following differential equation has a solution as y = cje + Cze + czæez ? O a. y" + 8y"…

A: →Form auxiliary equation and satisfy the roots.

Q: y = e2t sin t + et SOLVE THE DIFFERENTIAL EQUATION. y" + 4y' + 5y = et ;y(0) = 1,y'(0) = 2 %3D…

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Q: Solve the differential equation (b and a are variables) (D2+4D+3)b=1+2a+3a2

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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.