2х + 3y + z = -1 3x + 3y + z 2х + 4y + z = = -2 II

Q: y"' + 3y" + 4y' + 2y = 0, y(0) = 1, y'(0) = 1, y"(0) = 2

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Q: y" + 4y = 0 ; y(0) = 2,y'(0) = 2 %3D

A: Some properties of Laplace transform  Ly''=s2L[y(t)]-sy(0)-y'(0) L0=0 L-11s-a=eat

Q: 5-y" 2y + 4y= 0; y(0) = 2, y(0) = 0

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Q: z2 – 1.5z + 4.5 z(z – 3)

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Q: y"" - 4y" + 5y' - 2y = 7t-5, y(0) = 0, y'(0) = 0, y'(0) = -2

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Q: 4. y' + 2y" - 11y' - 12y = 11t -9, y(0) = 0, y'(0) = 0, y" (0) = -3

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Q: Simplify

A: Given: -2r4s-3-2

Q: 4) y"- 2y'– 3y = 0, y(0) = 1, y'(0) = 7.

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Q: y"" + 2y" - 11y' - 12y = 11t-9, y(0) = 0, y' (0) = 0, y" (0) = -3

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Q: 3y – 5x 4y3 – 6x³ Subtract: x² - y? x? - y?

A: The given expression is 3y3-5x3x2-y2-4y3-6x3x2-y2.

Q: (y– 1)(y+1)(y-6)(y+6) = 0 y = 0.0.0. and

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Q: 3. y'+7=(-2x+ y)';y(0) = 0

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Q: (- 4t + 3, t + 2, – 2t – 4) for -4 <t < - 1

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Q: v (0) = 2, y(0) =

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Q: y" + Ay = 0, y(-2) = y(2), 3/(-2) = y'(2) %3D

A: Given         y''+ λy = 0,        y -2=y2,     y'(-2)=y'2 ........(1)

Q: -3(w + 4) = 4w - 5 %3D

A: To solve the given equation

Q: Identify the x-and y- intercepts.

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Q: -.) t(3t-2)4 et

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Q: y" – 2y' + 5y = 0 ;y(0) = -1,y'(0) = 7

A: The given differential equation is y''-2y'+5y=0 and the initial conditions are y(0)=-1 and y'(0)=-7.…

Q: y′=2x/(1+2y),y(2)=0

A: To determine the solution of the initial value problem and determine its maximum value.

Q: Find 2A – 3B? - 2 41 - 2] A=-5 1 3 and B=5 -1 5 1 -1 2

A: Given,A = -204-513021B = 30-25-15-102

Q: 2.1) Evaluate 4-2r dydr

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Q: y""' + 2y" - 11y' - 12y = 11t - 9,y(0) = 0, y' (0) = 0, y"(0) = -3

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Q: 12) y"-3y' +2y=0, y(0) =-1, y'(0) = 0

A: topic - differential equations

Q: y" + 5y'+y = 0, y(0)=-10 , y'(0)=0

A: We have to solve given problem:

Q: O K+ ty-3Z-3=0 2x-y-2- . 3X

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Q: y"" + 3y" +3y' + y = 0, y(0) = 7, y'(0) =-7, y"(0) = 11

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Q: For which values of x is Y1 = Y2?

A: A table with X, Y1,Y2

Q: 3.y′=2y−3t,y(0)=1

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Q: ニ -1 -4メ + 4y -2メ + 2y -32 - 3 3メ + 1y -32 + 14 3. %3D

A: Note: You have posted multiple questions, we have solved the first question for you, if there is a…

Q: -2 a) (5m³)3 b) () -2 c) d) (-2p?)(3q)°(5r²) (2p q*)-1 (3p)2(-4pq2)-2 4v-5(-2)-4 3y-8

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Q: 2. y" – 2y' = –4 y(0) = 0, y'(0) = 4

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Q: · y" – 4y' + 4y = °, y(0) = 1, y'(0) = 0

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Q: y”+y’=0; y(0)=-4 , y’(0)=6

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Q: If y=3 then -y2=

A: Given Here the objective is to find the value of M

Q: y -7y +10y= 9cost+7sint, 5, y =-4 2

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Q: Q.2) Evaluate 3(1-2) -3-3r-y dzdydr

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Q: y" + 4y = 0, y(0) = 1, y'(0) = - 1

A: Given that: y''+4y=0,y0=1,y'0=-1

Q: (12a^(-1)b^(3)c^(-1))/(6a^(3)bc^(-2))

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Q: z² 2 (z-1)(z-0.5)

A: Given z - transform ,                                            F[z] = z2(z-1)(z-0.5) Inverse  z -…

Q: (b) ) yn+2 -4yn+1-10y, +3yn=3"+1

A: The objective is to solve the differential equation:

Q: 3. y" + 2y + y = 0, y(0) = 3, y'(0) = –1

A: If the rootsm1, m2=m of the auxiliary equations are real and same , then the complete solution is…

Q: y" - 10y' +9y = 5t, y(0) = -1 y' (0) = 2

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Q: 2. y" - y' - 2y = 0 : y(0) = -2, y'(0) = 5

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

Q: y= x y 4 3 (2,) -3 (1, 0) 3 x (-2, –2) (0, -1) -3

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Q: 2x3 + xy? x² + 2y4 if (x, y) # (0,0) if (x, y) = (0,0).

A: See the details solution in below

Q: y" + 2y/ + y = 0, y(0) = -1, /(0) = 1

A: Since you have asked multiple questions in single request. So we will answering only first question.

Q: y" + 3y' = 0 y(0) = -2, y'(0) = 3

A: Given,            y''+3y'=0 , y0=-2 , y'0=3To find : The general solution of teh differential…