What is the general solution of (D - 3D- 10D) y 03 Oy = Cie + Cze + C3er Oy = Ce 2 + C2 + C3e Oy = Cie + C2 + C3e 2r Oy = Cie + Cze5z

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+4D)y=0 is (A) Ay=c₁еx+c₂e²x + c3e² (в y=e*(c₁cos2x+c₂sin2x) -4x y =…

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Q: Q2) The general solution of y" + 2y"-y' - 2y = 0, is: a) y(x) = c₁e²x + ₂x + c₂e* c) y(x) = c₁e²x +…

A: Solution :-

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: 8. What is the particular solution of 2xyy' =1+ y², when x = 2, y = 3 ? C. y =V5x +2 d. y =3x – 4 a.…

A: Given differential equation 2xyy'=1+y2, when x=2,y=3. The objective is to find the particular…

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: The general solution of y"+4y' + 4y=D2t+3 is: Select one: a. y = C, e-21 +C2 t e-2+2t +3 O b. y = C,…

A: Here I am attaching image so that you understand each and every step.

Q: The general solution to (D4 – 4D²) y = 0 is O y = c1 + c2x + c3x?e=2# + C4x³e2 + C4x° e2a -2x O y =…

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Q: The solution of the IVP y = x2(1+y), y(0) =3 is O None of these. y= 4e 3 - 1. y3 xe + 3. .3 3. y36e…

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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: Obtain the general solution. (D4 – D³ – 3D2 + D+2)y=0 O y= Ce* + C2e2x+ e¬*(C3+ Cax) O y= Ce-*+…

A: Solution is given as below:

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 a particular solution to y" + 4y + 3y = -8te". %3D Yp

A: Given differential equation is  y"+4y'+3y=-8te2t

Q: If y is a solution of y"+xy'+3y =0 then find the

A: Find y' and y'' from the equation y=∑m=0∞ amxm .                                       y'=∑m=0∞…

Q: The particular solution In (x) = 3x + 4y, y(0) = 0 is A. e³x + 3e-4y = 4 B. 4e3x3e-4y = 3 C. 4e3x +…

A: Topic = Differential equation

Q: 2. Solve the systems of LDE using the method of operator (D² – 3)x – 4y = 0 x + (D2 + 1)y = 0

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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: 8. Obtain the general solution to the equation ( Dª - 3D³ + 5D² - 9D + 6 )y = 0 a. y = cie* + c2e2x…

A: If the roots m1,m2,...,mn of the Auxiliary equations are distinct and real then the complete…

Q: Find the general solution to y" +(-1) y' + (- 12) y = 5 e2'. %3D a. None b. 7.e2 t y=c, e3t+c, e4t+…

A: To find  The general solution of the given differential equation.

Q: The general solution of y" + 4y' + 4y = 2t +3 is: Select one: а. y = Cq e-2t + C2 t e-21 + 2t +3 b.…

A: The solution is given as

Q: If y+3y = 8 then g- solution is %3D a- y + 6 = 1 b- In (8 -3y ) = x + c %3D

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Q: The general solution of the DE +4-5y=0 dy² y = Ae* + Be5x Option 2 O y = Ae* + Be-5x y= Ae* + Be-5x…

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Q: Find the particular solution of the DE y''-11y'+24y=0 when y(0)=2 y'(0)=-3

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Q: 14 Jlgull find the solution y"-3y'+2y=e3t , y'(0) =0, y (0) =1 5et-2e 2t+3e 3t .a O et - 2e2t + .b O…

A: We will use Laplace transform to solve the differential 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: What is the particular solution of (2ay? + 3x?) dæ + (2æ²y + 4y³dy ) dy when 2 and y 1 O x? y? + x³…

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Q: Obtain the general solution. (D4 + 4D³ +2D²-8D-8)y=0 O y=e²x(C₁+C₂x) + C3е√²x + С₁е-√²x Oy=e-²x(C₁x…

A: Given differential equation is D4+4D3+2D2-8D-8y = 0 To obtain the general solution of the given…

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: Find a particular solution to y" + 7y' + 10y = -19te“. %3D

A: Introduction: When there is a non-zero function of the independent variable on the right-hand side…

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: What is the general solution of (D° + 14D³ + 49D) y = 0 Oy = (C1 + C3z) cos v7a + (C2 + C4x) cos 7z…

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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 the DE: y" – 3y = 0 is Select one: y = ce² + cze³z y = c +cze³z y = ce² +…

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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: What is the particular solution of (3r + 2y?) da + (4ry + 6y2) dy = 0 when r = 2 and y = 0 ? O7+…

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Q: Solve the IVP: ry'- 2ry 10x2, y (0) = 1 Oy- 3e + 222 4 Oy = 6e #= 5z = 5 Oy=-e + 5x + 27 Oy= - 5z -…

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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: Solve the system of equations by Cramer's rule: 4x +3y = 2 11x + y+2z = 3 x+5y+2z =1

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Q: 6. What is the general solution of * (x² + 2xy – 4y²)dæ - (2? – 8ay – 4y)dy = 0 a? – 4y = c(x - y)…

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Q: The general solution to 6y dy -y =0 is da2 da O y = ce-3e + cze2a Oy = cje +cze y = C1e O y = cie 3…

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Q: 17. The equation y2 = cx is the general solution of: * (3 Points) O y = y/ 2x O y' = 2y / x O y =…

A: Here I am attaching image so that you understand each and every step.

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: Solve the general solution of DE: y" -5y' + 4y = 3e6r O y = cje* + c2er + ner 10 y = cje* + czet* +…

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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: 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: Find the general solution to the DE y"-6y'+9y=t2e3t

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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: 'ind the general solution of d³y 6. dr3 dy - 8y = 21e2 dr dr2

A: