Download OU B.Sc 2018 May-June 1st Year 2nd Semester 7035 Mathematics Question Paper

Code No. 7035/E/R

Subject: Mathematics

Paper-II

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Differential Equations

Max.Marks: 80

PART - A (5x4 = 20 Marks)

[Short Answer Type]

Note: Answer any FIVE of the following questions.

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1. Solve: xdx + y dy = (x dx - y dy) / (x² + y²)
2. Solve: dy/ (x²-y².z²) = dz/ (2y) = dz/ (2z)
3. Find the particular integral of (D³ +3D² +2D)y = X
4. Solve: (D⁴ -1)y=sinx
5. Find A, B, C and D if y = Ax³ + Bx² + C + Dxe^x is particular integral of (D³ - 3D +2)y = 2x² + 3e^x by method of undetermined coefficients.

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6. Solve: (y+z)p + (x+z)q = x+y
7. Solve: p(1+q) = qz
8. Solve: (2x+3)² d²y/dx² -2(2x +3)dy/dx -12y =6x

PART — B (4x15 = 60 Marks)

[Essay Answer Type]

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Note: Answer ALL the questions.

1. a) Solve: p² +2pycotx=y²
2. b) Solve: (xy² - xz)dx + (3x²y +xy-z²x+y)dy=0
3. a) Solve: (D² +1)y = X sin 2x.
4. b) Solve: (D²-2D+1)y= e^x sinx.

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OR

1. b) Solve (D² + 4D + 4)y = 3x e^2x by method of undetermined coefficients
2. a) Solve: ?u/?t = 2 ?²u/?x² ,u(x,0) =se^-3x by variable separable method.

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3. b) Solve: (xz-yz)p + (yz-zx)q = z —xy.

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