PART 1 Solve the following differential equation. Express your final answer in y = f(x) 1. Determine the solution of the differential equation 2xy dx+ (1 + x?) dy = 0 given that y (2) = 3

Q: PART 1 Solve the following differential equation. Express your final answer in y = f(x) 1. Determine…

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Q: dy dx x2(y2+3) + y (x3+1) = 0

A: To solve the differential equation.

Q: Q2 Solve the differential equation dy dx x +1

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Q: i. Solve the differential equation (x + dx-y = (x+2)², given that when x = 0, y = -4.

A: This is first order ordinary non homogeneous differential equation.

Q: Q.4 Solve the differential equation . d*y d³y d²y dy + 4 dx* dx³ dx² dx

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Q: Solve the differential equation: dy/dx + x2y = 3x2 , y(1)=6

A: Calculate the integrating factor and solution.

Q: Solve the differential equation (D² + 4D + 1)*(D² + 6)°y = 3 cos(x/6).

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Q: Q2 Solve the differential equation dy x--y =- dx x + 1

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Q: Q4/ Solve the differential equation a) xy. = 1+ x+ y+ xy dx

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Q: xy – y = /x² - y² — у 3

A: Topic - differential Equation Homogeneous Differential equation

Q: Determine if the differential equation (3x2y + ey)dx +(x3 + xey - 2y)dy = 0 is or is not exact; if…

A: Given problem:- Determine if the differential equation (3x2 y + ey )dx +(x3 + xey - 2y)dy = 0 is or…

Q: (x-2)dr+4(x+y-1)dy=0

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Q: c) y' = -y2e* d) y' = y2 - 4

A: Use the variable separable method to solve.

Q: dy 3r'y² || dx

A: We solve the differential equation as

Q: Solve the Differential  Equation (d^4y/dx^4)-4(d^3y/dx^2)=14

A: We will solve the the differential equation.

Q: Q2/ solve the Differential Equation [ (2xy+3y²)dx = (x² + 2xy)dy ]

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Q: a. Solve the differential equation of (2x + y)dx – xdy = 0

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q3: Find the general solution of the given differential equation: у" + 3у" — 4у%3 0

A: Ode

Q: 1. Solve the differential equation to find y: dy (1+ x)+Y = VX dx

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Q: a. Solve the differential equation by variation of parameters y" – 4y' + 4y = (x + 1)e²*

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Q: Find the general solution of the differential equation ? y" - xy' + y = 0

A: Consider the given equation. y''-xy'+y=0 Let's the solution of the equation is y=∑n=0∞anx-an. Find…

Q: a?dx = x/x? – a? dy 2 2

A: Use variable  separable form

Q: PART B: Find the general solution and particular solution of the following differential equations 6.…

A: Use separable variable method to solve

Q: Determine an appropriate substitution and then solve the differential equation. xy' = y In(xy) Cx-1…

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Q: Part I Determine whether the given differential equation is exact. If it is exact, solve it. 3 + x…

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Q: Solve the differential equation y’=xsqrt(y); y(0)=1

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Q: Solve the differential equation: dy/dx = = (y3 + y2 − y − 1)x2

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Q: Solve the differential equation dy dx x²(y²+3) + y (x³+1) = 0.

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Q: 2. Solve the differential equation d?y + y = csc x dx²

A: The given differential equation is d2ydx2+y=csc x

Q: Q': Solve this first order differential equation dy 2 +y = -x²y2 cos x dx

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Q: Q1 Solve the following differential equation- Part a) Solve the initial value problem (x²+1) dy/dx +…

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Q: Solve the differential equation: xdy/dx + x2y = 3x2 , y(1)=6

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Q: dx dx 4+ 5x = 10 ; when t = 0,x = 0, = 0 dt

A: Given differential equation is, d2xdt2+4dxdt+5x=10, x(0)=0, x'(t)=0 let x=emt(≠0) be a trial…

Q: a) Solve the differential equation: dy X - dx + (2x – 7)y = 8x7 -

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Q: 2. Solve the given differential equation. x2 y' = y(1+x³)

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Q: Solve the differential equation below: (D-1)(D-2)(D-3)y=e^x

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Q: I. Solve the differential equation. (y-1ldv +x Cx+1)dy = o

A: Solution:

Q: Determine the degree of the differential equation 1/2 +1 = 0 3/2 Y2 -y1 A. 6 В. 3 С. 2 D. 4

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Q: dy dx || x3 2+y²

A: Given differential equation, dy/dx= x³/(2+y²) So, (2+y²)dy=x³dx

Q: Solve the given differential equation by separation of variables. dyxy + 5x - y – 5 dx xy - 2x + 6y…

A: Solution: The objective is to find the solution to the given differential equation

Q: 2. Solve the differential equation dy 1 dx

A: Solution :-

Q: What is the degree of the differential equation? 3 + O 5 +3 = 0 dx dx 1 2 3 4

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Q: A/ find solution for the differential equation below: Y"' - 6Y" + 11Y – 6 = 0

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Q: (6) 2. y'+xy = 6x/ỹ

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Q: Part I Determine whether the given differential equation is exact. If it is exact, solve it. 2:( 3x…

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Q: Q₂/ solve the differential equation. ху 3 xể ý yếu 4 eo

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Q: Solve the linear differential equation dy y 2x2 dx

A: This ODE can be solved as follows:

Q: Solve the differential equation of dy/dx + 1/3 y = e^x y⁴

A: Divide both sides of the given differential equation by y4 to obtain the right hand side y free.…

Q: Q.1: Solve the differential equation below; y' = e²x-1 y²

A: The given problem is to solve the given differential equation. Given differential equation…