3- a) b) d) Given that y₁(x) w + xw = 0 xw+w=0 w w=0 w+w=0 w - 2xw = 0 = 1 is a solution of y" + −y' + x 1 2/29= = 0. Find the first order equation by reducing the order

Q: #16. Simplify xy-1 4 ху 1/32 3

A:

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A: We will verify the given statement.

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A: The solution given below with attached file.Explanation:

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A:

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A: You must know these formulae before solving this problem:

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A: (a). Given  2+j1-j = j(x+jy)⇒ 2+j1-j×1+j1+j = -y+jx⇒ 2+2j+j-11+1 = -y + jx⇒ 12+32j = -y + jxBy…

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A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

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Q: b) Solve ди Ət ди +3x = 1+u, Әх -8AHAB, u(x,0) = f(x). t > 0,

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A: On solving ist three questions we will get

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Q: 3/(a) Let X × b(n, –) and E(x)= E(16–7x) find n.

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A: topic - differential equations

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A: subtitute y'=v where v is the function of t v''=V'3 v=2it+c1+c2 y'=2it+c1+C2 y=c2t+c3+i22c1+t3/23…

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Q: The maximum number of linearly independent solutions of y" -2y"'+xy = 0 is 3. Select one: True False

A: y''''-2y'''+xy