Which of the following is true? A) y "'- 4y' + 4y = 0 The general solution : y=c₁e²x+c xe ²x 2x B) y'''-2y"+y'= 0 The general solution : y=c₁+c₁₂e₁¹+c₂xet c₂2cos2x C) y "' + 4y = 0 The general solution : y=c_sin2x+c 2x 3.x D) y'' - 5y' +6y=0 The general solution : y=c₁e²x+ce ³x

Q: 10. The equivalent form of Using unit step functions is A. u(t-2) (sin(t) - 3) +3 D. 3u(t-2)-…

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Q: 3, Find the poner sertes solution in poners of (x-1) of *最+y=o; 0 2 +2y=0j つ4 4(メー)-4(メー)れ +…

A: Given that xy''+y'+2y=0 Take y=c0+c1(x-1)+c2(x-1)2+c3(x-1)3+c4(x-1)4+c5(x-1)5+.. Take the derivative…

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A: Question 1 is solved. Solving more questions are against the policy of bartalby.

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Q: c) y" - 4y + 3y = e³t

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Q: 2. ( 3. A. 1- s) The integrating factor of zy' + 3y = is. B. 22 C. 2³ 3) The general solution of y"…

A: The given differential equation is xy'+3y=exx2. We have to find an integrating factor.

Q: Find the solution of the given ODE a. 1 - 2 = Cx b. 1 + (-)² = Cx c. 1 - * = Cx y d. 1 + (-)² = Cx…

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Q: (ii) 4x²y" + y = 0.

A: Solution

Q: 4 solve the D.E " -X² Joly =0 3x2 ydx + LY

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Q: A. The integrating factor of zy' + 2y = is. B. 2 C. 13 D.

A: Given differential equation. xy'+2y=exx2 y'+2yx=exx3 Linear first order differential equation

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Q: Q1:- A) solve the following D.E x + x*)»' -3y = 0 1 x?y" + В):- у" + у' — бу %3 8e3х

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Q: C1e + C2e* . These are The solution of y" – 2y' 15y = 0 is y the values of C, and C2 if y (0) = 11…

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Q: Q. (a) Find an equation of the tangent plane to each surface at the given point. (b) Find symmetric…

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Q: Let (xp, y,) be the solution of the following equations In 2 (2x)™² = (3y)n3 3Inx = 2lny %3D Then xo

A: Given equations are 2xln2=3yln33lnx=2lny

Q: Solve y'-y y'e" A) y(c- x) = e", y= 0 B) y(c – x) = 0, y = 0 C) y= e", y = 0 D) y(c-x') = e", y= 0

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Q: A. et B. et The value of L-1} is. B. 2te¹ + et A. 3te +et C. u(t) C. 2te + et D. 8(t) D. 3tet + et

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Q: 3. A. us) The general solution of y" + 5y' - 6y=0 is. B. y cie-6 + c₂e A. y cie + c₂e6 C. y =…

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Q: 11. A. 1 The value of f sin(t)8(t-)dt B. 0 c. D. √2

A: Given ∫0∞sin(t)δ(t-π4)dt as we know in delta function ∫0∞sin(t)δ(t-a)dt =sin(a) so ,…

Q: find the (general and especial) solution of y" - y' - 12v = 3x2 + 1 *

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Q: Example 31.7. Solve y,. 2-4yn 3y, 5

A: Given,           yn+2-4yn+1+3yn=5n

Q: 8. 3) The value of L-{} is. 844 B. 2te +et A. 3tet + e-t C. 2te-t+e-t D. 3te + e

A: We have to find  , the value of       L-1  s+4s2+2s+1  = ? options are    (A)  3te-t + e-t (B)  2tet…

Q: Find the general solution to y" – 14y + 49y = 0. Enter your answer as y =? . In your answer, use c…

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Q: 3) The solution of, y(1) - 1 is. B. y²=²+1 A. r² = y² +1 C. y² = 2x² +1 D. ²-²=0.

A: Given: The differential equation dydx=xy , y1=1. To Find: Solution of the given differential…

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Q: 3) Solve over Z. + 1 = /y+l5 %3D

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Q: (a) Verify that yp, = 3e2* and y,, =x² + 3x are, respectively, particular solutions of y" – 6y' + 5y…

A: To verify the given statement and to find particular solutions by using the given statement.

Q: A. 6. (s) The minimum radius of convergence of power series solution about z = -2 of the ODE…

A: ANSWER 6:

Q: 1 y" + 3y' - 18y = 0 2 y"-14y' +49y = 0 y" + 2y' +10y = 0 y"" — 7y — бу = 0 3

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Q: Q 9 please

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Q: 5. (-. A. B. y = C₁x + c₂xln(x) 3) The radius of convergence of 1 (-1)*(-4)* B. 0 C. 00 C₁x + ₂x² y=…

A: Here you asked for question number 5 only . So here it is

Q: then A(-2u - 20) = -2 ---B 5 and Au 3 Au = 2 4

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Q: Example 6.17 Solve the difference equation Yra + 2y = 0 (k > 0) given that y, = 1 and y, = ,2.

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Q: The values of m for which y = x" is a solution of x² y" – 7xy' + 12y = 0 are (Select the correct…

A: As the given value of Y is the solution of the equation that's why the value of Y should satisfy the…

Q: For 2y''+7y'+6y=25*t*e^(5*t) A) Find the solution, then find the general form for a particular…

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Q: 5. (-. A. 6. 3) The radius of convergence of E B. 0 C. 00 D. 3 s) The minimum radius of convergence…

A: We solve questions 6.

Q: 1.) The solution of, y(0) = 1 is. A. r² = y² +1 B. y² = ² +1 C. y² = 2x² +1 D. y²-r² = 0.

A: The differential equation is defined as the equation containing the independent variable, dependent…

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Q: A. y = C₁e + c₂e6 4. ( B. y=c₁e-6 + c₂e -) The general solution of r2y" - 3xy' + 4y = 0 is. B.…

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Q: -5x IF y- Ceb* + C2e0x and y Co) = y'C0) = 10, Find the Sum oF C and C2

A: C1 =4 ,C2 =6

Q: 3.-. 3) The general solution of y" - 5y' +6y=0 is. A. y = ce² +₂e³ B. y ce2 + c₂e-3 C. y cie-2z+c₂e³…

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Q: a) Solve the I.V.P y'==, y(1)=2, and give the interval I of y definition of its solution. b) Does…

A: The solution is given as follows