Which of the following is a solution of the following equation valid near the origin for x>0? x²y' + x(2 + 3x)y'- 2y=0 (-1)^-23n-3xn-2 £ n = 4 y= x+ (2n)! * 2(-1)"-33n-2 xn-2 y=x+ E n= 4 n! O y=x-2- 3x-1 +9 O y=x-2+3x-1+9

Q: he (4x' +6xy' )dx + (9x’y' +3)dy = 0 equation ² - 3x²y' +3y =e - Solve the so *+ 3x°y +3y=e -t…

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Q: give me the solution of   y'' - 2y'- 2y = 0

A: Topic:- differential equation

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A: As per answering guidelines of Bartleby I am supposed to answer only first question. If you want…

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Q: 40e5*, y(0) = ;, y'(0) =y"(0) 9. y" – 2y" + y' = 2 – 24e* + 2

A: Given: y'''-2y''+y' = 2-24ex+40e5x, y(0) = 12, y'(0)=52, y''(0)=-92

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Q: Q9: Solve the following equations a. (5/6)X -15 b. 9x-6-3x-15+4x-7 С. х+3/8)x-77

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Q: Q1: If y" + y = x², then yp = Q4: The solution of y(4) - 5y" + 4y = 0 is: (B) c₁e* + c₂ex +…

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Q: x?S(x x] =0 2 2 x Can be wpitden as s" (o)= the Solu tion is

A: Note:- You have mistakenly written it as c1e^ax + c2e^-ax. At the place of a there will be α.

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A: Note: " As per our guidelines we will solve only first question . If you want any specific question…

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A: We will find the solution of the differential equations.

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Q: If x/4 = y/3 = z/2, then what would be the value of (5x + y – 2z) / 3y

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Q: 3) y +2/u

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Q: The general solution to the ODE x²y" + 2xy' - 2y = 0 is y = C1x + C2x-2. Use variation of parameters…

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