Q1/ Solve the given differential equations or initial-value problems 'using Separable" (Answer only three) 1- Xtan 2. y+x + y s y's =と? xy y(1) =-2

Q: Determine the differential equation that is satisfied x2 + y2 + 2ax + 2by + c = 0

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Q: 4x y" - 4y = 2x

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Q: Find the solution of the following Differential Equations 1 В) у+-у-17 sin(2t), y(0) = -1.

A: Note:  We'll answer the first question since the exact one hasn't specified. Please re-submit the…

Q: Solve the Linear Higher Order of differential equation using the formulas below. (xD – 1)(D +x) |…

A: We have to solve the problem

Q: Q2\ Find a general solution of each of the following differential equations : y.x 1. 2х-x2 dy = /2 –…

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Q: Now find the solution of the differential equation that satisfies the conditions y(0) = 4 and y' (0)…

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Q: 3.- Show the differential equation is exact, then solve the equation. dy _ 3x2 - 6ху Зx? — у dx

A: To show that the differential equation is exact and to find the general solution

Q: Use the varnation of parameters method to solve the differential equation 1. y"-y =

A: The detailed solution is given below Thank you

Q: Consider the differential equation: y''+12y'+36y=-2x2-4e-3x. Apply the method of undetermined…

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Q: Find the general solution to (t² + 4)y' + 2ty = t²(t² + 4). Enter your answer as y = .... Use C to…

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Q: Q5) Determine the general solution of the simultaneous differential equations:

A: To solve this system of simultaneous differential equations, we can follow these steps:Write down…

Q: Form the differential equation by eliminating constants a and b from y = a(b – z)(b+1) + 52. %3D

A: In this question, the concept of the differential equation is applied. Differential Equation A…

Q: Solve the High order differential equation by using Variation of Parameters Method y(4) – 2y" = 4x

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Q: Determine the form of a particular solution for the differential equation. Do not solve. y" -y=tet +…

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Q: Folve differential equation by variation of parameters. y" – 4y' + 4y = 2e2

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Q: Q2/ Solve the Higher order differential Equations. ( -- d*y d²y 4- + 4y = 0 dx2 1- - dx+

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Q: a. || 8 3)++ (-2) x+ t> 0

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Q: 6. Use an analogy with differential equations to solve the IVP xo = 1, x₁ = 2 for the difference…

A: We will solve this by characteristics method, and after that we will use initial conditions to…

Q: What is the order of the differential equation which has a general solution given by y = Cie-2a +…

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Q: as instructed, to find a second solution y,(x).

A: Given, the differential equation                x2y''-5xy'+9y=0;        y1=x3

Q: Solve the differential equation by variation of parameters. 9x y(x) = y" - 9y = C₁e³r 3x 3x -3.x +…

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Q: Suppose you want to find an equation for a curve that passes through the point (1, 2x3 2) and whose…

A: We have to solve the differential equation dydx=2x3y to get the equation of the curve.

Q: To find the differential equation of y= c,e 2x c e“ cos 3x + c,e“ sin 3x, we use elimination of…

A: First simplify first derivative equation and then derivative it again with respect to x