Obtain the differential equation whose general solution is y = C₁ + c₂e³x 3x A. B. O O E. y" - 3y' = 0 3y" - y'= 0 y"-9y' = 0 9y" - y' = 0 None of the Choices

Q: dy + (3х — 7)у 3 5x7 | dx

A: Consider the provided D.E,

Q: The differential equation has as a solution. Applying reduction order we set y = uxª. x² d²y dy dx²…

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Q: Obtain the differential equation whose general solution is y = ₁ + ₂³x A. B. |y" - 3y' = 0 D. E. 3y"…

A: Differentiate both side with respect to x

Q: y" -8y' + 16 = 0

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Q: Let r=5+4 i, 5-4 i,4 be the roots of the auxiliary equation of the 3rd order D.E. y" + Ay" + By' +…

A: Hence the axillary equation is given by      {m-(5+4i)}{m-(5-4i)}(m-4) =0     {(m-5) -4i} {(m-5)…

Q: The diffeterctial equation is y²dx+ 3xZy² dx + dy=0

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Q: а. (4x3 — 6ху^)dx + (4y- 6ху)dy %3D 0 b. 1 -(xdy- ydx)=0 x²+y? с. 1 (v²dx+x²dy)=0 (x2-у?) d. (x+y)dx…

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Q: 3. Determine the general solution of the differential equation y/" + 2y" + 2y" + 2y' + y = e¬t + t.

A: Solution of differential equation is solved below

Q: Consider the differential equation 4y" – 4y' – 8y = . Find a particular solution for the given…

A: Given differential equation 4y'' - 4y' - 8y = 8ex

Q: Solve the differential equation by using variation of parameters: d'y dy 3 dx 3x + 2y = e dx .A 3x y…

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Q: y = 1+e – 2y Solve for y as a function of z.

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Q: (In x - 9Jax-(8 + 1) dy == 0 2. + 6x) dx + (Inx-2) dy = 0 3. (2x y2 + 24) dx + (2x²y + 2x) dy = 0 4.…

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Q: What is the complementary solution y, for the differential equation y"- 4y=12x A y,=c,cos 2x + c,sin…

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Q: 1. (y+√xy)dx + xdy = 0

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Q: The differential equation has as a solution. Applying reduction order we set y = ux¹. Then (using…

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Q: Determine the order and degree of the differential equation 2xy"-3y"+xy=0

A: Given: 2xy'''-3y''+xy=0 To Find: Order and Degree of the given differential equation. Concept: The…

Q: The differential equation d y 3x4 2- (3 In x)y = - dx2 is a Bernoulli's equation. Select one: O True…

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Q: yp given that yc = c1e6x + c2 xe6x if the differential equation is: y'' - 12y' + 36y = -6cos(2x)

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Q: 2. Coefficients Linear in two variables. Find a general solution of the differential equation (2x -…

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Q: 6 v = xe 5. Determine whether the function is a solution of the differential equation - 12y'-16y = 0…

A: Topic- differential equations

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Q: . Find a general solution of the differential equation y" 2y3y=3x²–5

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Q: 2) Find the differential equation by eliminating the arbitrary constants A and B from B y = 5 Ax+ —…

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Q: Form the Differential equation if its solution is V=acos(2x +b) O a. y'= 2x b. None of these O c.…

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Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x. A. y"-3y' = 0 3y" - y'= 0…

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Q: y = c1 e(-2+v3)x + c» + c2 e(-2-v/3) z

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Q: You are given the differential equation 6y" – 6y' – 5y = 0. |

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Q: Find a differential equation whose general solution is y = cje% + cze¯74. = 0

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