6x2 -4x 1. Find the first-order derives: I. y II. y = (2x3 + 7x – 14)5 %3D 4x2-8x+5

Q: 2. Solve the following equation using LU factorization with partial pivoting. + x + 2x, + 2x, = 6 +…

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Q: y2-16y +28=

A: Topic:- algebra

Q: Find the general solution of each ff Higher-order DE using Reduction of Order  1. (2D2 + 3D -2)y=0

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Q: Find the particular solution for: 3x²y' 5x - 6xy, x 2 when y = 1 %3D

A: This is linear differential equation. We solve it by finding integrating factor.

Q: (D² +6D+9)y=e³* 3x

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Q: y" + 2y' – 15y = e3x %3D

A: We find particular integral by inverse operator

Q: Specifically a differential equations problem. Question in pic below.

A: Here, y’’ +2y=-8x

Q: (D2- 4D + 4) y = ex ( Using Reduction of Order )

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Q: Find the general solution for: y'' - 4y' - 5y = -6xe(-x)

A: We need to find the general solution for y'' - 4y' - 5y = -6xe(-x). ---------(1)Idea: First, we will…

Q: -2xy+y 3) lx² + xy+y² = 12} Combination of Methods

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Q: What is the product solution of the PDE ax = 0 ? ay a. Ae*+y b. Ae*-y c. Ae(x+y)k

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Q: (1+ 2.x² þ" – 4.xy' + 4y=0 yı(x) = x

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Q: -2x+ 4 3) (12 + 1)(x – 1)2a: | + 1)(z – 1)2da

A: We will solve the problem

Q: Find the General Solution: y" - 3y' + 2y =e*

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Q: Find the equilibrium point. D(x) = 7- 8x, S(x) = 3 + 8x

A: Equilibrium point is the point at which demand and supply function intersects. That means at…

Q: 70. 4y" +5y' - 2y = e²+xsinx

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Q: (e) y"+4y' = -4y %3D

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Q: y"" - 3y" - y' + 3y = 0

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Q: Find the general solution: dy + ycotx = 3eCosx dx y = 3cscx(ecosx) - ccosx b. y = -3cscx(ecosx)+…

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Q: B. Non- homogeneous Higher Ordered LDE 2 1.D +50² + 8D -9) y - 69x²e-*

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Q: Find the consumer's and producer's surplus if for a product D(x) = 16 – 0.006x² and S(æ) = 0.003x² .…

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Q: y" + 6y 2+e 1x 二

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Q: Find the general solution: y" + 3y' + 2y = 4e^x

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Q: (2D 3D-2)X+(D+ZD-494-4 D+HX+LD+2}y=o

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Q: Use Cramer’s Rule to solve the system.

A: Cramer's Rule: x+y+z=0............(1) 2x-y+z=-1.........(2) -x+3y-z=-8.......(3)

Q: Find the general solution of: y"- 4y' + 4y= e2x %3D

A: Method of variation of parameters : consider the differential equation        d2ydx2+P(x)dydx+Q(x)…

Q: Find the complementary solution: (D^3+D)y=x

A: QUESTION- Find the complementary solution:   (D^3+D)y=x

Q: y"-3y¹+2= 1²+5t-2 1. Method of Variation of Parameters

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Q: y" – 3y + 2y = x-1 (using the method of undetermined coefficients]

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Q: is the minimnurm step of the horno gone ous n What X+ xt 2-X ifferential equatian with its solution…

A: The objective is to find y=x2e-x+x3+x2what is the minimum step of the homogenous differential…

Q: - 2r2- 6y = -2x + 5y %3D he previous step at x = -3.

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Q: y" - 6y' +9y = e", 3x У (0) -1. у(0) -0

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Q: 9. (D2 - 2D +5)²y = 0 %3D

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Q: Find a particular solution for: y" + 4y = 4cos(2t)

A: We need to find the particular solution of the given differential equation which is y'' + 4y = 4…

Q: 3. (D² +4D+4)y =0 (Use reduction of order method)

A: Given equation is Linear differential equation which can be solve by easily .       Solved below

Q: find the general solution of y''+2y'-3y=(5x^2-7)e^-x

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Q: 1. m(t) = -6t(5t* – 1)* 2. y= (x3 + 2)(x² – 1)* 3. y= (x - 8)* (x +3)5

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Q: 3.y=1x² -2x リ=(x-2x)。 dy=$(x²-2x)*x (2x-2) -2x) 12 (2x-2 %3D /2-) メ 2メ-2 d メ-

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Q: (4) y" – 3y +2y = 1+e² %3D

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Q: oss product between Á = and B =.

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Q: 1+x² »" – 2xy' + 2 y = 0 y (x)=x

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Q: 3. v"" + 5y" + 8y' + 4v = (9x – 2)e5x %3D -

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Q: y" - 4y' =t+ 3cost + e -2t

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Q: y(IV) – 16y = 0 16у %3D yaV) + 4y" + 4y = 0 6.

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Q: Find mZX. Y 2 3

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Q: Find the General Solution: y" +y' - 6y = 2x

A: The given equation is a second order linear differential equation having constant coefficients. The…

Q: 3) xle), ale), zl4) genecal solutions? 3x+G4-22 %3D - 2y

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Q: Find the general solution of y" - 4y/ + 4y = .

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