let y(x) be y"+y' -2y = 0 bhe solution of I.V.P > yco) =b, y'co) = 4 . = 6 フ Lim yox) =0 19 puig

Q: y c. y' = x+Vxy

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Q: (a) For each of the functions below, determine whether it solves equation A), (y')² = 1 – y². i)…

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Q: y" +2y = 2x+5-e-2r y""-6y"=3-cosa

A: These questions are about ordinary differential equation.

Q: x"+x=2cos(t)

A: The general solution of a differential equation is the sum of the complementary function and the…

Q: xyz" + (y +z)' + x'yz z(xy' + z)(x + y')

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Q: Q1\ Answer (A) If y = sec(x), prove that y" + y = 2 y³ lo

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Q: What is the coefficient of x2y' in (5x- y)?

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Q: ах ) x' + 4x/y 5 y² = 3 ) Vxy +1 = y ) 3xy = (x' + y' ) ) x' +x.tan¯' y = y ) sin¯'(xy) = cos"' (x –…

A: Simple differentiation

Q: the derivatives of y with respect to x: y = xe* – ex y = e(1x+) %3D y = e*(sin x + cos x) %3D y =…

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Q: y' + E) y = xy? 2

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Q: y" - √xy = sinx ; (TT) = 0. y' (π) = 11. V" (π) = 3

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Q: e an is a solution or dirrerential equation y'ray=20* how?

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Q: Using series solutions for ordinary differential equations solve the following differential…

A: To solve the given differential equations (with initial conditions) using power series and checking…

Q: d/dx (2x'y²+8x-2y+3)=? Select one: a. xºy2 b. 14x°y? O c. 14x®y²+8 С. d. 14x°y²+2y O e. 2x'y?+8x-2y

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Q: Consider y=(x2+1)2x a) find dy/dx b)Evaluate y'(1)

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Q: Solve. a) y - e" cosy b) +2y= + 2y 6e **-+(Let u - )

A: Since you have asked multiple subparts of this question, we will solve the first three subparts…

Q: (tanx) y' = y, y(플) = 플 T

A: Given differential equation:- tanxy'=y

Q: Solve: y'' + 2y' – 15y = – 45t – 84 y(0) = 9, y'(0) = 28 y(t) =

A: We have to solve the given problem.

Q: If fx,y) = y'e e"+ then f,,(x.) =2y + Select one: True O True O False

A: Given   f(x,y) = y2e2x + (y3/x2)

Q: 2. Y=12-36x, Y'co) = 5, 2. dx and yeo) =S. YCx) =?

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Q: Ux+yUy=y² , U(0,y)=sin(y)

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Q: 5. y"+9у-0

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Q: -(v/y)- o None of the above () ferentia uation y"+y' = 1? What is the general solution of the dif-…

A: given differential equation :-             y''' + y' = 1

Q: g Solve Rour of the following D.E A)(xュ)dx + 2xy dy dy B) ャリ=ex c) (xx v y'es )dx -(y- )dy zo D) (X…

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Q: y'(t) = y sec t, Y 6) = 0

A: We need to solve the initial value problem y'(t)=ysect ; y(π/2)=0. The solution is given below.

Q: 1 b)y" + y = ; 1+sinx

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Q: 11. Solve: 2xyy'= x² y° +4y² a. 8x' = y(C – x*) b. 8r = y (C – x*) c. x² = y(C – 8x*) d. 8x = y*(C…

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