Find the general solution of y"-y'+ óy = 0 %3D A. None of them В. y = Ae" + Be 3x -2x -3x C. y = Ae OD. y = Ae* + Be O E. y = Ae * %3D 3x -3x + Be 2*

Q: If y = u³ - 4 and u = 3x² + 10, find y' O 18x(3x² +10)² O 3x(6x² + 10)² O18(3x² +10)² 6x(3x² +10)² घ

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Q: у" — бу' + 9у %3 t'e", y(0) 3D 2, У (0) 3D 17

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Q: 4. y(2x2- 2x - y)dx + xy dy = 0

A: We will solve the problem

Q: * jax vnen 8. xy dx + 2(x² + 2y²)dy = 0 ; when x = 0, y = 1

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Q: Find the general solution of the D.E. (y^2- 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your…

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Q: Solve the given DE x?dy - xydx-2ydx

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Q: Find an example of a nonlinear equation, which is not solvable using any of the methods: separable,…

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Q: (y + Jx² + y² )dx – x dy = 0 ; when x = v3,y = 1 7.

A: The given problem is to solve the linear differential equation with given initial conditions. We…

Q: у"" - 8y" + 41у'- 234 е 3х, у"(0) %3D 187, у'(0) 3D 29, у(0) 3D 10 3x.

A: Now we solve this below

Q: Zyyy=24x-96y+5 denkleminin genel çözümü aşağıdakilerden hangisidir? O a. z=4x^(2)…

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Q: The top and bottom margms Op a poster are are 8 cm and Hhe Side mary Ms'are each 6 cm if Hhe ae a of…

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Q: Verify that y, = e2x and y2 = e5×are solutions of у" - 7у' + 10у %3D 0

A: We have to verify that the functions y1=e2x and y2=e5x are solutions to the given differential…

Q: 1- yli+zy=2e

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Q: (3x² – 2xy + 3y²)dx = 4xy dy

A: 6. The given is  3x2-2xy+3y2dx=4xydy Thus, dydx=3x2-2xy+3y24xy.....(1) which is a homogeneous…

Q: Solve for the general solution of (D: - 5D + 6)y = 4e* using method of undetermined coefficients.

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Q: 24. у (2х —у + 2) dx + 2(х — у) dy %3D0

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Q: Find the general solution of y" = x-1 A. y = xln x – C1x + C2 B.y = xln x – C1x - C2 C.y = xln x +…

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Q: The solution of (1-2y)dx+ydy 0 is Select the correct answer. OD Iar+In(y-x)3Dc O Iny-x)- Odit cannot…

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Q: (4xy+5y)dx+(4x² +15xy-12y)dy=0. Use two methods.

A: Note: according to our guidelines we can answer only first question because there are multiple…

Q: Differentiate: y = (3x 교-5z) (4n3 +2) O y' = 60a + 80a- 12a 10 - O y' = 60x + 80a + 12x O y' = 60x4…

A: Let's find.

Q: Find d²y[dx². 1. y = x* - 7 2. y = x + 9 3. y = 2x4 – 5x 4. y = 5x3 + 4x 5. y = 4x2 – 5x + 7 6. y =…

A: The expression d2ydx2 denotes the second derivative of y with respect to x. A polynomial function is…

Q: Find general solution of (x^2 +y^^2 +z^2)p +(x^2 +y^2 -xz)q = z(x+y) %3D

A: Solution

Q: (1+ ye" + xye²)dx + (xe² + 2)dy = 0 C = xye – 2Y – x None of the choices Option 4 C = xye" + 2y – x…

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Q: A mass weighing 64N stretches a spring 0.32m. The mass is initially released from a point 8 m above…

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Q: 2. y" - 3y' +2y = e4x + 6x³ – 2+ 3sin(4x) | |

A: See 2nd step

Q: Please solve this question Using *Homogenous method step by step in detail dy d³y + 3 d²/+3dx + y =…

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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: Solve for the general solution * (4xy+3y – x) dx + x (x + 2y) dy = 0 x' (4xy² + 4y – x) = c x²…

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Q: L do IP 주 (x-sy)(2ty-2) +3t(y+x). (2 tx+5) (2ty-2) + 9t2 x (0) = 0.2 (2txts) (+3x)-3t (2²_3y)…

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Q: Which of the following is a solution to the DE y" - 9y' + 18y = 0? O y = Ae^(3x) + Be^(-6x) O y =…

A: The objective of the question is determine the solution of the given differential equation and…

Q: у" +4y' + 4y %3D0

A: Given the differential equation y" + 4y' + 4y = 0. Here the auxiliary equation m2 + 4m + 4 = 0

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.