2. Obtain the general solution of the following equations: (i) x²uxx + 2xyuxy + y²uyy + xyux + y² uy = 0,

Q: Solve the pollowing: り ( 2+J(xtjy) X=? ye! (b) (2+j)(3-j2) = a+jb a:? b:? (C) (メ-j2y) -(y-jx)-2j x=?…

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Q: Find the general solution to the equation xdx + -dy= 3dy O x=/2y+ Cy-2 O xy= 2y + C O y = 2x3 + C…

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Q: xy [zy- a. In(xy)=2(x - y) +c b. In(xy)=x-2y+c c. In(xy) = 2y-x+c d. In(xy)=x+2y+c

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Q: Solve the particular solution (D2+3D+5)y = 5e-xsin2x using  D- operator method.

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Q: Which of the following is the standard equation of 9y² – x² + 2x+ 54y+62

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Q: Find the linear first equations 15 3 ydx+ (xy+2x-2y)dy3D0

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Q: Obtain the general solution of this equation.

A: Step 1: Step 2: Step 3: Step 4:

Q: Find all solutions of the z2 + 2z + (1 – i) = 0.

A: we have to find all solutions of the z2+2z+(1-i)=0 .

Q: Find the general solution of the following equations in the standard form (ax + by = c). 1. (2x -…

A: We need to solve D.E.

Q: *29 y-5=m(k-iD= 0(x-1) =O y-5=0 y=5

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Q: 3. Solve the homogeneous equation y = x² + 2y² 3x²

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Q: Solve (2Dy + 5)²z = 0

A: We can solve this problem by method of ordinary differential equation

Q: 3. Find the general solutions of, (xy + x* )dy + y°dx = 0 b.

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Q: (х? + 2у — 10у3х) if z у? (у? + 4х + 5у) dz -, find || дх

A: Given:

Q: Find the general solution to the equation y4) – 6y" + 9y" = 0. NOTE: Use c1, c2, C3, and c, as…

A: We can rewrite the given equation as y''(y''-6y'+9y)=0 Put y = erx then y' = rerx and y'' = r2erx

Q: 1. х2у" — 20у%3D 0

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Q: 3.a) Eliminate the Arbitrary Constants in the equation: y = C1sin(2x + C2) y" + 4y = 0 у' — 4у%3D0 O…

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Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

Q: y₁=1+a3x³ + arº +... Y₂ = x + b₁x¹ + b₁x² + ... Enter the first few coefficients: a3 = a6 = b₁ b7 )…

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Q: Find the general solution of æ²p+ y²q = (x + y)z.

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Q: Find the general solution of ди ди (y – z) + (x – z) ди + (2y – 2x) ду - az

A: The differential equation is given as (y-z)∂u∂x + (x-z)∂u∂y  + (2y-2x)∂u∂z = 0 We will solve it by…

Q: Find the general solution of (y-zx)p+(x+yz)q=x2+y2

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Q: Find the general solution to(D5 - 2D3 – 2D2 – 3D - 2)y=0

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Q: Obtain the general solution unless otherwise instructed . (D² − 3D + 2)y = e²x(1 + e²x) −¹ Yc = Ур =…

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Q: y₁ = (x+y)²-1

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