Find the solution of the following initial value problem:y+ +3у +2у%3D0, y(0) = 0, y'(0) = -2 Select one: 2e 2sin3t Ob. 2e=2e2 O C.

Q: 1. Solve the following equations: c) (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

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Q: 3) Solve the initial value problem : dy 4x5 4096 3x2 у(16) - 1 %3D %3D dx 5/2

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Q: Which of the following functions are solutions of the DE y-4ry 0? (a) y 5z2 (b) y= e2 (c) y=3e1 (d)…

A: The given differential equation is Compare the above DE by general form of linear DE such that

Q: Q3. Verify that y² = x² – 3 is the particular solution to the following ivp: y' = ; y(2) = -1. %3D

A: To check whether a solution is particular solution to ivp , it must satisfy the differential…

Q: dy 3. x. e*y. + y. e*y - 4x3 = 0 dx -

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Q: %3D =D3e %3D 4.

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Q: -3x у" + 5y' + 4y %3D 10е'

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Q: у (4х + у) da 2 (x² – y) dy - - 2x2 + x + 2 ln y = C ans.

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Q: Solve the following: cInc y(1+V3+y2)y' with y(1) = -1. Do not solve explicitly for y. That is, you…

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Q: The equation y? = cx is a general equation of A. y' = 2 B. y = 2x 2x C. y' = y y D. y': 2y O A NONE…

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Q: IHA = ; . III. B X1 x2 And X = lx3 x4!' Solve each of the following equations: 1. (d) (B - I)x = IC…

A: It is given that A=1234,  B=3110 ,  C=1224. 1. (d).…

Q: 3X (02-60,9)y=e" (x+2) %3D

A: Given differential equation is  (D^2 - 6D + 9)y = e^3x(x+2)

Q: 5. Solve: 4xy2(3x³y – 5xy) = 0, Let y = 2 %3D

A: A detailed solution is given below

Q: 7. Solve the initial value problem: dy + y = 0, y(7/3) = 0, y'(T/3) = 2 d02

A: Given the differential equation is d2ydθ2+y=0, yπ3=0, y'π3=2

Q: H.W. Solve the O.D.E メ+5y u sing 5X° ys homogenos ogenous methd

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Q: D.E Poll owing (1+y)dx= (bany -x) dy Solve the %3D

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Q: B. Solve the following initial-value problems. 2. (4ry + 3x²) dx + (2y + 2x²) = 0, y(0) = –2

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Q: 3. Find dy of the following equations: dx a. y = |(e-3x² + 7x² + In 8x

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Q: Solve the following equation: 6. +ー=9 6x+1 x 1 1 1 O A. -- 1 1 ○B. -ニ, O B. 6 9 1 1 OC. 6 9 1 1 O D.…

A: In this we have to solve the given equation.

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.