Solve the following evaation for a 2メ+S X +1 e 3De

Q: Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A…

A: Given Differential equation is x'' - 4x' + 4x = 4e2t

Q: Find the general solution of the following ODE's: y' + 3x²y = x²

A: The given differential equation is y'+3x2y=x2 It is of the form of linear differential equation…

Q: solve the following diffrential c) x²(y+1)dx+(x²-1)(y-1)dy=0

A:

Q: Solve the following ODE 3 y' + • y = 0 with initial condition y(1) = 2 -

A: Write y'=dy/dx and then use variable separation.

Q: Solve the following Bernoulli DE's. 3(1 + t² 2) = 2ts(s³ – 1)

A: The given Bernoulli differential equation is,  31+t2dsdt=2tss3-1

Q: solve the Riccar' equanim 3 yoing the green partienten soluhon y'ax) + 1 y ₁x) +y²cx) = 4 ca).…

A: Riccati equation

Q: Solve the following BVP using finite difference approximations with the step-size 1/3: d²u 3 dx²=u²,…

A: Given IVP is d2udx2=32u2,      u(0)=4,  u(1)=1           (1) step size h=14 By finite difference…

Q: Find the general solution of the following DE in explicit form. y' =2+2/y-2x+11

A: Solution: The differential equation is y'=2+2y-2x+11 Suppose that v=-2x+y so that y=v+2x Then,…

Q: Solve the given Bernoulli DE: 3y' + 3y/x = 2x4y4

A: A detailed solution is given below

Q: y': 2хy y' = y2 –x²

A:

Q: Solve the following homogeneous ODE 2ху 8. y' = ya-x2

A: Given differential equation is an homogenous equation

Q: y' - y y2

A:

Q: solve the following different ia l e fuation 2x(1-x) y" +(1-x) y' + 3y = 0

A: Given: 2x1-xy''+1-xy'+3y=0 To solve the given differential equation. Since the posted question has…

Q: Find the general solution to the following ODE: dy dr - 6zy + z*y

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Q: 2. ydx = x(1+ xy*)dy %3D

A:

Q: Solve the following linear DE's. 7. y" – 10y' +34y = 3x² + x - 1

A: Given equation in symbolic form is (D2-10D+34)y=3x2+x-1 Auxiliary equation is D2-10D+34=0 The roots…

Q: Solve the following. IP 101 dt 2t +5 = 10, I(0)=0 = 2X 1. +3y dr ; r=1, 0=1 4. ydx+(3+3x-y)dy=o 2.…

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Q: Solve each of the DE's 1. (D² +4)y = 4cos² x

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Q: solve the following P.D.E by separable method:

A: A) In this question, we need to find the solution of the partial differential equation by using the…

Q: Solve the following PDE via separation of variables. ne 5x - - ax? at U(-n, t) = U(T, t) au (-1, t)…

A: Assume the function U as follows: U=fxgt

Q: What is the general solution of the following ODE* 3 points (x² + xy – y*)dx + (;x² – 2xy) dy = 0

A:

Q: Please solve the following higher order homogenous DE: a. y'' + 4y + 3y =0 b. y'' - 6y + 9y =0…

A: a. Consider the given differential equation, y''+4y'+3y=0 so the auxiliary equation is, D2+4D+3=0…

Q: Find the general solution of the following DE in explicit form. y'=2+2/y-2x +7

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Solve the following PDE: а. у иху +и %3D 0 a²u a2u + at2 = 0 b.

A: Solution :-

Q: Solve the following simultaneous linear D.E. 4 [2D [2D+1 D+ D-4 11 {} D+3)=(e) -

A:

Q: B. Solve the following LP algebraically. а. Max Z= 150X+ 160Y subject to: X+ Y 20 Y> 15 Χ. Y>0 b.…

A: We solve the first two problem by simplex method. In this problem we first transform the problem…

Q: Solve the following equation using Bernoulli D.E. a. Substitution method y = -x²y²cosx 3. +=y

A: The given Bernoulli differential equation is dydx+2xy=-x2y2cos x.....(1) We have to solve the…

Q: 2. Solve the following: dt x> 2 X-y t+

A: The formula for the substitution method for definite integrals is given by , where g'(x) and f(x)…

Q: 2. xty'= -x³y- csc(xy)

A:

Q: x³ – 2x? – 5 = 0, [1,4]

A: Reframe the function and find the term for x.

Q: y' + 2y = x³e-2x

A:

Q: Solve the following homogeneous ODE 3. y' = 2ху y² –x²

A: Given: dydx=2xyy2-x2...1 Let, y=vxSo,dydx=v+xdvdx

Q: Find the general solution of the following linear first-order ODE (1-x²)y' +2y-x=2

A: We need to solve D.E.

Q: solve the following P.D.E by separable method: a?u + 3y?u = 0 дхду

A: The partial derivative of a function with respect to a variable is the derivative of a multivariable…

Q: please answer the following asap Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1,…

A:

Q: Solve the following Bernoulli DE's. ds 3(1 + t2) = 2ts(s³ – 1) dt

A:

Q: Consider the following problem; max(x? + 2y) s. to 5-x2-y 20 and y20

A: Given: The given "kuhn-Tucker" condition and  given equation is  maximum (x2+2y)  subject to…

Q: Solve the following PDE: y Uxy + u = 0

A: The partial differential equation given is as follows:…

Q: Find the general solution of the following DE in explicit form. y' =3+2/y-3x +12.

A:

Q: Which of the following initial condition will NOT satisfy y(x) = c(1 – x²)? 1. y(0) = 1 2. y(2) = 1…

A: Let's find.

Q: Find the gene ral solution of the following DESI 2x²y + x y' = 1

A:

Q: (x – 2)² – In x = 0, [1,2]

A: Given: f(x)=x-22-ln(x), 1, 2 To find: Root of a function in given interval.

Q: Q5: S x dx ajconverges to 1 bjconverges to cconverges to- 4. d)diverges 25-2

A:

Q: Consider the following problem; max(x? + 2y) s. to 5-x² - y >0 and y >0

A: Extreme Value Theorem- If f(x,y) is continuous in some closed and bounded set D in ℝ2, then there is…

Q: Solve the following D-E 2) x- 2y = x³cos4x dx

A: Topic- solution of linear differential equations

Q: Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A…

A: Some of the properties of Laplace…

Q: Solve the following Bernoulli DE's. ds 3(1+t?) 2ts(s³ – 1) dt

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Q: (D² + 16)y = 4sin3xcosx

A:

Q: 2. 3(3x² + y² kdx – 2.xydy = 0

A:

Q: Consider the following IVP: x" + 4x = t+4 ; x(0) = 1, x'(0) = 0 Find the general solution.

A: Explanation of the answer is as follows