The general solution of the nonhomogeneous equation y "-y = x is a. y = C + C2 e-x- x + 1 b. y = C, cos x + C2 sin x + x C. y= C ex + C2 e*-X d. y = c, cos x + C2 sin x + x + 1

Q: The general solution of (D2-2D+1)y=2sin x A y= ce*+c>xe* + sinx B y=ce*+c2xe* + sinx+cos x…

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Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. -3x y = (c,+c,x)e-*+c;e-+e*(c,cosx+c gsinxr) -2x A…

A: Given differential equation is (D5-2D3-2D2-3D-2)y = 0

Q: Determine the form of a particular solution yp of Ур y" + 4y = x cosx. Do not solve the equation.

A: Here given the differential equation as y''+4y=xcosx or D2+4y=xcosx where D=ddx

Q: Solve for the general solution of the equation: y" +4y=-x+4e², Ⓒy=c,cos2x+c sin2x -0.8x+0.25e…

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Q: Solve using MUC. y" +4y=3sin2x 3+3+5+ y = C₁ cos2x+ C₂sin2x - -Xcos2x 4 y=C₁ cos2x + C₂sin2x +…

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Q: Find the solution. (D3 +7D2 + 19D + 13)y =0; when x =0, y=0, y' =2, y"=-12 (A y = e*cosx B y =…

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Q: Find The general Solution of VO (3y cosx + 4x + 2x² e^²) dx +(3 Sinx + 3) dy

A: We have to find the general solution of 3ycosx+4xex+2x2exdx+3sinx+3dy=0

Q: e5x cos e5x dx sin²e5x

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Q: Solve csc y dx + sec²x dy = 0 elect one: a 4cosy + 2x - sin2x = c O b. 4cosy + 2x + sin2x = c c.…

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Q: 8 410x-32+x2 cos2x 4 Find *: (a) y =

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Q: The general solution of (D²+2D +1)(D²+4)y=0 is A y=(C,+Cx)e+C,cos2r + C ,sin2r B…

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Q: Suppose that ye cos Bx is a solution of y-y +ay -9y =0 where a and B are real constants Then the…

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Q: Solve: y/" – 4y" + 53y = 0 O y = C1 + C2e cos2x + C3e-7* sin2x 7x O y = C1 + C2e cos2x + C3 e7"…

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Q: z.e +4 a'z cos(2x+y) z.e Solve ax 4 əx-əy axəy

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Q: Equation y" - 2y + 2y = exsinx (5) (21 2 2 Appropriate Form of the Particular Solution

A: We need to solve Differential equation. As per Bartleby guidelines we can solve one question from…

Q: Solve: y" + 4y" + 29y' = 0 O y = C1 + C2e5ª cos2x + C3e5" sin2x -2а O y = C1 + C2e¬2ª cos5x + C3e¬2®…

A: The given equation is y'''+4y''+29y'=0 First write the auxiliary equation and then solve it to…

Q: "+2y(y)² = 0 =1^²)={1^²/ LV=X+C₂ y(x) = c₂e¹1* - 1 . (C₂-y)² + x² = C₁ :C. -In(c 2) 71

A: Given differential equation

Q: Find the general solution of (2x + y cos (xy))dx + x cos (xy) dy= 0 Show your solutions on a…

A: Solution

Q: If x³y" + xy' +(x? -y=D0 x>0 ,y,=x sinx , and y3V,v. Which of the following 3 equations satisfied by…

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Q: ry"+xy'+(x* -y =0 -)y = y = x cosx is a solution of the equation Show that

A: Given               x2y''+xy'+(x2-14)y=0                      (1)

Q: Solve the equation y' + a = eax +)csc(ax+y), where a is a real number Select one: a. e-(x…

A: The differential equation is given as y'+a = e(ax+y)csc(ax+y)                          (1) Let ax+y…

Q: olve: y" +10y" + 29y' = 0 Dy=C₁+C₂e-2 cos5x + C3e-2 sin5z Oy=C₁+C₂e cos2r + Czez sin2z Dy=C₁+C₂e-5…

A: Solution to the differential equation

Q: Solve: (2x cosy + 3x y) dæ + (x – a? sin y – y) dy = 0 O 2x cos y + 2x2y-y = C O x3 cos y + x?y-y =…

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Q: y= (12,4 + x)* + (1+)(Va² +x- c )cos²(4x), c)cos²(Ax), 3)4( 3 y = (12,4 +x)* + (1+x' Зx +x — с y = ?

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Q: Solve: y " + 2y' + y = x co x

A: The given equation is  y''+2y'+y=xcosx This is a second order non-homogeneous ordinary differential…