Find the general solution of the following: 12. (D² + 9)y = 0

Q: 4. Obtain the general solution. y"-4y'+4 y=3e²*

A: for the solution we have equation y" - 4y' + 4y = 3e2x so now characteristic equation of this is...…

Q: (D² + D)y =x+| ;

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Q: Find the general solution of the following: 11.(D² – 2D + 5)y = 0

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Q: Find the general solution  (D2 − 2D − 3)y = 0 when x = 0, y = 0, y′ = −4

A: The given equation is,D2-2D-3y=0with the initial condition,x=0, y=0, y'=-4

Q: Find the general solution of the following: y" +y - (G + 4) y = 0

A: Given that, y''+1xy'-9x2+4y=0

Q: Find the general solution of the Following problem? y" + 4y' + 6y = 0

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Q: Give the general solution of (D5 - 3Dª + 8D² – D – 5)y = 0

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Q: Obtain the general solution C. (D2 + 2D + 2)y = e-x

A: Obtain the general solution C. (D2 + 2D + 2)y = e-x

Q: What is the solution of D.E y"- 4y = 9xe* when solved using the method of undetermined coefficients?

A: This is a question of inhomogeneous differential equation.

Q: Find the general solution of (D3 – 2D2 + D)y = x

A: (D3-2D2+D)y=xlet D3-2D2+D =0D(D2-2D+1)=0D(D-1)2=0 D=0 or D=1,1Therefore C.F.=C1+C2ex+xC3exnow we…

Q: What is the general solution of the equation y '(t) = 3y - 12?

A: We first separate the variables

Q: The solution of y = 5y + e 2"y2, y(0) = 2 satisfies:

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Q: у" — у' — х %3 0

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Q: 6. Find the general solution to y" – 6y" = 3 – 6e2z

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Q: 1. Give the general solution of (D5 + 2D4 + 7D3 – 4D² – 26D + 20)y = 0

A: First I have find the roots of the auxiliary equation and then according to the roots find the…

Q: dy = 6x(y – 1)2/3. dr

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Q: Find the general solution of the following 14.(D² – D + 1)y = 0

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Q: Find the general solution of the Following problem? y" - 2y' - 3y = 0

A: y''-2y'-3y=0 Auxiliary equation       m2-2m-3=0 =>m2-3m+m-3=0 =>m(m-3)+1(m-3)=0…

Q: What is the general solution of the equation y '(t) = -4y + 6?

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Q: Find the general solution of the following: 7. (D³ – 4D² + 4D)y = 0

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Q: Solve for the general solution (D4 – 16)y = x* + x + 1

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Q: Obtain the general solution. (D^2- 2D + 2)y = 0

A: Using solution of Linear Differential Equations with constant coefficients.

Q: 1. Give the general solution of (D5 + 2D4 + 7D3 – 4D2 – 26D+20)y = 0 ="

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Q: Find the general solution to y" – y' – 2y = 3x + 4. (Be sure to find the values of the coefficients…

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Q: 11. (D- D)y = 0.

A: As per our guidelines only one question can be solved. Please find the solution for Q no 11 below:

Q: Find the general solution of (1) y′′+4y=8tant−π/2<t<π/2.

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Q: 4. Obtain the general solution (D + D - 9D - Dy = 6e - X 3x + 3xe

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Q: -4x e Find a particular solution to y" + 8y' + 16y= x3

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Q: Find the general solution of y'' - 2y' - 8y = 24(x2+1)e4x by using VARIATION OF PARAMETERS

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Q: 7. Find the general solution of (Dʻ + 2D’ + 10D²)y = 0.

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Q: Find the particular solution. (D^2 − 2D − 3)y = 0; when x = 0, y = 0, y′ = −4

A: From the given differential equation; D2-2D-3y=0 The auxiliary equation is: m2-2m-3=0 Now solve;…

Q: 5. Find a particular solution to the equation y" + 4y/ + 4y = xe-2".

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Q: Find the general solution: ydx-(e^у+2ху-2х)dy О А. ху^2-се^2у+2(y+1) е^у О в. ху^2-се^2у-2(у+1) е^у…

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Q: ) Find the general solution to y" – y' – 2y = 3x + 4. (Be sure to find the values of the…

A: i have find Complementary function and particular integral, the general solution is the sum of them.…

Q: Q(2) Find the general solution of (2r2 + y)dr + (x2y-r)dy 0.

A: Solve the differential equations using exact differential equation method

Q: Q(5) Find the general solution of (r+2y- 4)dr - (2r +y- 5)dy = 0.

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Q: Find the general solution 5. (D² – 1)y = 0

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Q: Find the general solution of the following: 1. (D² – D – 2)y = 0 2. (D² + 3D)y = 0 3. (D² – 5D) + 4y…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find the general solution (D3-3D2-3D+1)y = 0

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Q: 1. Solve for y. D B 420 C0y-4 8. Find MZBCD. 40

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Q: Obtain the general solution. (D^3 - 4D)y = 0 when x = 0, y = 0, y' = 0, y'' = 2

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Q: What is the solution to 2x2 + x +2 = 0? O A. 1+iy15 O B. 1 iy15 2. O C. 1+y15 4. O D. 1+15 4.

A: solution of quadratic equation can be found using standard formula

Q: Find the general solution y" + 3y + 2y = 3e-t cost + 4e

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

Q: Find the general solution of the following 13. (D² – 2D + 2)y = 0

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Q: = 0

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Q: Find the general solution of the following: 6. (4D² – 4D + 1)y = 0 %3| -

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the general solution of (D^3- 4D)y = 0 when x = 0, y = 0, y' = 0, y'' = 2

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Q: 51) Find x if DM=x + 8 and MY= 1+ x D. B W M Y.

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Q: Find the general solution of the equation 4y'' + 4y' + y = e-t/2

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Q: Find the general solution of the Following problem? y" + 2y' + 2y = 0

A: The coefficient of d2ydx2 is 1, the coefficient of dydx is2 and the coefficient of y is 2.