Which of the following is the general solution of the differential equation In) = -2y? 5x 5x e2y a. = C 5. 3 2y e5x + C + C a.-* - c e2y %3D e. None of them

Q: If the complementary solution to a linear ordinary differential equation is y = c1 + c2x+ c3x² + c4e…

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Q: The particular solution of the differential equation. (D² + 4)Vp = 12 1 3. O O O

A: To Find: The particular solution of the differential equation.D2+4yp=12

Q: Which of the following equations can be reduced to the homogenuous linear differential equation with…

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Q: 1. (D²³+2D² - 5D (D³ + 2D² - 5D - 6)y=0; y = 0, Dy = 0, D²y = 1, when x = 0.

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Q: dx 12. dt t + 12x t + 12x + 13

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Q: yi = 3y, + 2y; y - +2y;

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Q: Given the roots of a differential equation, m's 3,-2, %3D -2, -1tv2, what is the solution? y = cqe3x…

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Q: Find the differential equation whose general solution is y = c1 x + c2 e

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Q: Which of the following differential equation has a solution as y = cje + c2e + C3xe ? O a. y" – 7y"…

A: Given the solution, to find the differential equation from the auxiliary equation.

Q: QI- Find the solution of the following differential equation d?y dy + 2 dx? 4x +y = 0

A: Given a differential equation 4xd²y/dx² + 2dy/dx + y = 0

Q: The solution to the differential equation (x³y² + xy)dx=dy is x² a. 1=2x²y-4y+Cye ² 2 b. 1=…

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Q: The solution of differential equation dy is 2ry dr Select one or more: O a. a? – y? = cr b. a + y =…

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Q: Consider the following differential equation. 5x²y" + 4xy + 12x²y = 0

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Q: If a nonhomogeneous linear differential equation has g (x) = 7x2 + 3, what is the form of its…

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Q: Which of the following is the general solution of the differential equation In()- x²+e5x) = -2y ? a.…

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Q: Find the differential equation corresponding to the family (x + a)? + 2y? = a?, where 'a' is the…

A: To find differential equation.

Q: dy 1. da + Зу 3D 2ге 2xe-3r du

A: Using differential equations.

Q: Q6. How many arbitrary constant in a particular solution of a fourth order differential equation?…

A: It is asked about particular solution.

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.