Obtain the general solution. (D4 – D³ – 3D2 + D+2)y=0 O y= Ce* + C2e2x+ e¬*(C3+ Cax) O y= Ce-*+ C2e2x + e*(C3+ Cax) O y= Ce* + C2e-2× + e¬x(C3+ Cax) O y= Ce=*+ C2e¬2x+ e^(C3 + Cqx)

Q: Obtain the general solution. (D4 - D3 –- 3D² + D+ 2)y=0 O y= Ce* + Cze2x +e¯*(C3+ Cqx) O y=…

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Q: The general solution of (D³-5D2-6D)y=0 is Ay=c₁еx+c₂e²x + c3e³x By=c₁+c₂e²x + C 2x 3x cy=c₁+c₂ex+ C…

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Q: 2x 3x The DE whose general solution is given by y = x²+c,e*+C2e is © y" - 5y' + 6y = 6x2 – 10x +2. |…

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Q: 17. Find the general solution of* (4D4 + 4D³ – 3D² – 2D + 1)y = 0 y = (Cz' + C)e + (C3a + C4)e" y =…

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Q: Find the general solution of 6y''+y"- 15y'=0, 3x 5x A y=c,x+cze 2 +Cze 3x 5x B y=c,+c,e ? +c.« ¯ 2…

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Q: 10. Give the general solution of (D3 – 3D -2)y = 0 a. y = ce-* + c2xe¬* + c3e b. y = ce* + c2xe¯* +…

A: Differential equations

Q: What is the general solution of 2 (2y² + 5xy – 2y + 4) dæ + x (2x + 2y – 1) dy = 0 ? O 2z°y + r*y? -…

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Q: following is sol

A: Which of the following is solution of (D3-2D2-5D+6)y=0

Q: 17. Find the general solution of * (4D + 4D3 - 3D² – 2D+ 1)y = 0 y = (Cr+Ca)et +(Ca + C)e y = (Cr +…

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Q: What is the particular solution of (3y? + 10ry?) dæ + (6zy - 2 + 10x?y) dy = 0 when x = 1 and y 2 ?…

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Q: Find two linearly independent solutions of 2x²y" - xy' + (−3x + 1)y = 0, x > 0 = x¹¹ (1 + α₁x + a₂x²…

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Q: 4. Find the particular solution of xy' – 2y = –x ; when x = 1, y = 5 a.y = x + 4x? с. у %3D х — 2х2…

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Q: 7. For what values of k will the system 2x + ky + z = 0 (k – 1)z – y + 2z = 0 4x + y + 4z = 0 have…

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Q: 17. Find the general solution of (D² + 3D + 2)y = e* + 3 3 3 a. y = cje-2* + cze-* + xe-* + c. y = =…

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Q: Find the general solution of 6y"'+y"-15y'=0 3x 5x A y=c,+c,e 2 +Cze -C, 3x 5x B) 2 y=c,e 2 +c,e 3x…

A: Roots are real and distinct.

Q: Find the general solution of a = y+2x. O a. y = -z(Inz +c) O b.y = a (2ina +e) O c.y = a(2ina +c) O…

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Q: B. Prove that the given equation is a solution to the given DE: 1. = C,e3* + Cze2* + Cze* ; y"- 6y"…

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Q: The general solution of (D3+4D)y=0 js A y= e*(c,cos2x+czsin2x) y=c1+c2cos2x+c3sin2x © y= cze*+cze²¾…

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Q: 2. Use separation of variables to solve (a) y' = -2y, y(0) = 1 (b) 4y' = y², y(0) = 4 %3D (c) y' + y…

A: Note:  "As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Find the general solution (D2 + 3D + 2)y = 1+ 3x+x² a. y = Cex+ Cze 2x + x² 1. b. y = ceX+ Cze 2x+x2…

A: The given differential equation is D2+3D+2y=1+3x+x2 To find the general solution of the equation.

Q: 7. Find the general solution of ( D5 + 3D4 – 21D³ – 47D² + 120D + 144 )y = 0 a. y = ciex + c2e3x +…

A: To find out the general solution.

Q: Find the general solution to(D5 - 2D³ – 2D2 – 3D - 2)y=0 O y= e-X(C1 + C2x)+ C3e2× + C4cosx+ C5sinx…

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Q: 4 - Find the general solution of y + 3y'+ 2y -e a) y(x) = Cie b) y(x) = Cie 2 + c2e -e c) y(x)= c1e…

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Q: Find the general solution of 6y''+y"-15y'=0_ 3x 5x y=c,x+Cge 2 2 +cze 3x 5x 2 2 B y=c,+cze ? +cze 3x…

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Q: The general solution of (D³-5D²-6D)y=0 is Ay=c₁+c₂е¯x + c3e6x By=c₁ex+c₂e²x + c3e³x Ⓒy=c₁+c₂e²x +…

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Q: Find the solution using Gaussian elimination: w + 2x − y + z = 6 −w + x + 2y − z = 3 2w − x + 2y +…

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Q: The general solution of (D3+4D)y=0 is 4x y=cq+c2x+C3e¬4 y= e*(ccos2x+czsin2x) C C y=c1+c2cos2x+…

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Q: Which of the following is solution of (D3+2D2+D)y=0(D3+2D2+D)y=0 ? a.…

A: We have given  differential equation D3+2D2+Dy=0 Auxiliary equation of diferential equation…

Q: Q4(a) Apply Gauss-Jordan elimination method to solve the equations x – 2y + z = 0 2x + y – 3z = 5 4x…

A: Consider the given system of equations x-2y+z=02x+y-3z=54x-7y+z=-1 Write the system of equations in…

Q: The general solution of (D3 - 4D²)y=0 is y=c1+ c2x + cze¬4x B y= c1+ czeX +c3e° B y=C1+ C3e-2x…

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Q: What is the general solution of (D3 - 2D² - 5D + 6) y = 0 ? Oy = Ce 2 + Cze + C3ze3z Oy = Ce + Cze2z…

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Q: Find the general solution of xy + 6y = 6x, VD. 3x a) O y2 7 b) O y2 3x* +C 9x8 c) Oy = + C 49 d) Oy…

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Q: What is the general solution of (4D³ + 4D² + D) y = 0 ? Oy = Ce + C,xe Oy = C + Cze + Czze y = C +…

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Q: The general solution of the DE y" - 2y' - 3y = 0 is y = cqe*+ c2e-2x O None of these y= Cqe*+ c,e3x…

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Q: d²u ²u + əx² ay² 1. to be the form of the solution u? A. u = X(x)T(t) B. a = xt C. u = X(x)Y(y) D. u…

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Q: Obtain the genral solution to (D5-15D³+10D² +60D-72)y=0 y=e²x(C₁ + C₂x) + e-³x(C4+C5x) y=e²x(C₁+C₂x…

A: Given differential equation is D5-15D3+10D2+60D-72y = 0

Q: 3. Find the general solution of y+= 3x y A. 1/(xy) = -3(x³/2) + C B. 1/(xy) = -3(x2/2) + C dx C.…

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Q: The general solution of (D³-5D² -6D)y=0 is A y=ce*+c2e*+ C3e* 3x y=c1+c2e¯2X+ Cze ©y=c,+c2e*+c3e* C…

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Q: The general solution of æy" + xy' +(3x² – 16)y = 0 for a > 0 is Y = OCiJ/5 (4x) + c2J_va(4x) None of…

A: The Bessel's equation of order ρ is given by  x2y''+xy'+x2-ρ2y=0  Then the general solution of the…

Q: Find the general solution to(D5 - 2D3 -2D² – 3D – 2)y=0 O y= e-X(C1 + C2x) + C3e2X + C4cosx + C5sinx…

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Q: The solution of yy′+36x=0yy′+36x=0 is Select one:

A: The question is taken from the calculus in which we have to find the solution of the given…

Q: The solution of (2æy? + 4)dæ = 2(3 – a²y)dy, y(–1) = 8 is %3D а. x² y? – 6y + 4 – 10 = 0 b. x²y? –…

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Q: The solution of y" – 4y' + 4y = 0 is Select one: O a. y = cje2z + c2e¬2 O b. y = c1re2= + c2xe³z O…

A: The given equation is y''-4y'+4y=0

Q: The solution of cy' – y = 2x3, y(1) = 3 is %3D %3D (A) y = x3 + 2x (B) y = x² + 2x %3D (C) y = x² +…

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Q: The particular solution of y' - y = -x when x = 0, y = 3 is a. y = 2x + 3e* + 2 b. y = 3x + 2e* + 1…

A: This question is based on first order differential equation.

Q: Solve the linearsystem by GE method x - 2y + 3z = 9 -x + 3y = -4 2х - 5у + 5z 3 17 A:{x=10,y=-2,z=1}…

A: Since, from the option that given to you, non of them satisfies given system of linear equations.