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ly's ty? ay&trinco в. (2+) +2 co с у&+c)12-o d.ysr+c)-n.co С

ly's ty? ay&trinco в. (2+) +2 co с у&+c)12-o d.ysr+c)-n.co С

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Our lesson is all about Differential Equations from Introduction up until Bernoullis equation.

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7. Solve (²+y)dag + (y² +x) dy = 0 34 9.643 + xy + y b. +³/- xy-y²24 = 0 cong ty d. 23³/² + xy ty ¹/4 = C 2. Solve xody-ydx = 2x³dx Q. усь хох 3 b.y²³:+²³ 70x 76. y=x²-cx | d₁y³ = 6³. 9. Sohe DE 3 алу +(36) y = 6+³ tt. b. by² = x² +6 c. - x^²y = x² +C d. by =b²+c 10. Solve (+³+3y) dx-xdy = 0 a. 2y = x² +6³ b. 2yc-x²14x³ C. 2x = y² + (₂₂²³ d. 2x=-y²+c=² 11. Solve dy + 24 = x^²y^² sinx a. yo Reasons b. y Tx(cost+c) (= + = y ² (cosa+c) d.y=-1 x² (csketc) n. Eliminate A&B from x - A sin (w+ +B) w being a parameter not to be eliminated. 2 9₁. x² = 1 x b. x²-1²x=0 C.-x" = -2² x d. x" + w²₁²x = 0
Transcribed Image Text:7. Solve (²+y)dag + (y² +x) dy = 0 34 9.643 + xy + y b. +³/- xy-y²24 = 0 cong ty d. 23³/² + xy ty ¹/4 = C 2. Solve xody-ydx = 2x³dx Q. усь хох 3 b.y²³:+²³ 70x 76. y=x²-cx | d₁y³ = 6³. 9. Sohe DE 3 алу +(36) y = 6+³ tt. b. by² = x² +6 c. - x^²y = x² +C d. by =b²+c 10. Solve (+³+3y) dx-xdy = 0 a. 2y = x² +6³ b. 2yc-x²14x³ C. 2x = y² + (₂₂²³ d. 2x=-y²+c=² 11. Solve dy + 24 = x^²y^² sinx a. yo Reasons b. y Tx(cost+c) (= + = y ² (cosa+c) d.y=-1 x² (csketc) n. Eliminate A&B from x - A sin (w+ +B) w being a parameter not to be eliminated. 2 9₁. x² = 1 x b. x²-1²x=0 C.-x" = -2² x d. x" + w²₁²x = 0
・y's ty² 9. y(x +2+c) 12²=0 $. (+²+c) +200) c. y(x+c)12=0 d. y(x²+6)-200 2 xy dx = (x +2y) ² dy = 0 Hint: uce Homogenous egn. " (x-₂) -cy" bie (+) = (y²³ (+-y) 9.2 (+8). (y²³ (x+y) c.e d. e y³ (x₂) (₂). cy 3. Particular Solin of (3x²-2y²2) y² = 2xy when x=0&you!. Hirt: Humog so genous egn. vse 9. x² = y^²(y +1) b. b² = 2y ² (y-1) 22 (y +1) d.x² = y² (y-1) 2 C.X valy 4. Solve the DE (2+yty) dor (²²x)dy = 0 Aint Variable separable { ay=cx₂(x+1)=-3 b. y=c+(x+1)=3 C₁y = (x(x-1)3 d.y=(x (x-1)=3 5. Solve the DE (6x+y^")dy ty (2x-3)dy = 0 Hint: exact 2 a. 3x² - xy² - y²³² = c -у n 3 2 b. 3x² + xy -y- c. 3x²+ хул d. 3x² + xy yo ^^-y² >=0 ху-у 6. Solve the egn. (r+sinx-cost)dr+r(sinx+cost)dx=0 Hint: exact an tên (sinx-cosx) b. r^² +2r (sin x tasx) = c. r^_r (sinx-cost) = d.r²_2r (sinx-ws x) =
Transcribed Image Text:・y's ty² 9. y(x +2+c) 12²=0 $. (+²+c) +200) c. y(x+c)12=0 d. y(x²+6)-200 2 xy dx = (x +2y) ² dy = 0 Hint: uce Homogenous egn. " (x-₂) -cy" bie (+) = (y²³ (+-y) 9.2 (+8). (y²³ (x+y) c.e d. e y³ (x₂) (₂). cy 3. Particular Solin of (3x²-2y²2) y² = 2xy when x=0&you!. Hirt: Humog so genous egn. vse 9. x² = y^²(y +1) b. b² = 2y ² (y-1) 22 (y +1) d.x² = y² (y-1) 2 C.X valy 4. Solve the DE (2+yty) dor (²²x)dy = 0 Aint Variable separable { ay=cx₂(x+1)=-3 b. y=c+(x+1)=3 C₁y = (x(x-1)3 d.y=(x (x-1)=3 5. Solve the DE (6x+y^")dy ty (2x-3)dy = 0 Hint: exact 2 a. 3x² - xy² - y²³² = c -у n 3 2 b. 3x² + xy -y- c. 3x²+ хул d. 3x² + xy yo ^^-y² >=0 ху-у 6. Solve the egn. (r+sinx-cost)dr+r(sinx+cost)dx=0 Hint: exact an tên (sinx-cosx) b. r^² +2r (sin x tasx) = c. r^_r (sinx-cost) = d.r²_2r (sinx-ws x) =
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