non homogenous question:  y"+2y'+2y = x2

Q: y" - 7y' + 12y = 0

A: We have to solve  y" - 7y' + 12y = 0 (D2 - 7D + 12)y = 0 The auxiliary equation is

Q: Find a real general solution 5x^2 y"+23xy′+16.2y=0

A: Consider y=xm and solve using this substitution to obtain the required general solution.

Q: Differentiate. y = In (6x? - 5x + 3) y' =O

A: Given: y=ln6x2-5x+3 We know that ddxlnx=1x…

Q: Eliminate the arbitrary constants of the equation y = Cje 2x + A y" - 2y' - 3y = 0 B y" - 4y' - 2y =…

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Q: 2y" – 7y" + 12y' + 8y = 0

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Q: By Lagrange's formula, prove that y =y3-0-3(ys-y- 3) + 0-2 (y_ 3 -y_5).

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Q: -4x y"+6y'+9y=7+

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Q: 2x-2y+1 5) y' = x-y

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Q: Convert x=2y-y^2 into y=?

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Q: +00 Find Ul-1/i, 1/i]. i=1

A: Given ∪i=1+∞−1i,1i First of all we will expand the union up to ∞.…

Q: Solve for ‘x’ and ‘y’ where x + y = a – b, ax – by = a2 + b2

A: To solve the equation for x and y.

Q: Solve ,  y" - 5y' + 6y = 0

A: We have to solve  y" - 5y' + 6y = 0 (D2 - 5D + 6)y = 0 The auxiliary equation is  m2 - 5m + 6 = 0

Q: 3 ť'y" +7t y' +1o yoo

A: A detailed solution is given below

Q: 3. Solve -4 -2 X' = 3 X+ -Se -11 -2

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Q: y"-16y=0  Find y

A: Given ,  y" - 16y = 0 (D2 - 16)y = 0 We have to find y

Q: y2 + 1 dy -2 (y – 1)2(y + 1) 1.

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Q: (2x+3y)y' + (2y +3x) 0 Is exact? Jubal caal l True False

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Q: y" + 4y = 5 csc 2x

A: