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Use power series to solve the initial value problem. y" – xy' – y = 0 y(0)=1, y' (0) = 0,

Use power series to solve the initial value problem. y" – xy' – y = 0 y(0)=1, y' (0) = 0,

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Question
Q6. Use power series to solve the initial value problem. y" – xy' – y = 0 y(0)=1, y'(0) = 0, Part III (Long Answer Questions) (8x2=1 |Q7. [4+4 = A. Solve the ODE: y" – 4y' + 3y = 4e*cos2x B. Find the transient motion and the periodic oscillations of a damped mass-an system with m = 1,c = 4, k = 5 under the influence of an external force F(t) = = 12cos4t .
Transcribed Image Text:Q6. Use power series to solve the initial value problem. y" – xy' – y = 0 y(0)=1, y'(0) = 0, Part III (Long Answer Questions) (8x2=1 |Q7. [4+4 = A. Solve the ODE: y" – 4y' + 3y = 4e*cos2x B. Find the transient motion and the periodic oscillations of a damped mass-an system with m = 1,c = 4, k = 5 under the influence of an external force F(t) = = 12cos4t .
Q3. Solve the initial value problem (1 +x*)y' = x³y, y(0) = -1 %3D Q4. Test for exactness and solve C+e*) dx + (cosy + Inx)dy = 0 Q5. Use variation of parameters to solve the nonhomogeneous ODE. e5x y" – 10y' + 25y = x2 |
Transcribed Image Text:Q3. Solve the initial value problem (1 +x*)y' = x³y, y(0) = -1 %3D Q4. Test for exactness and solve C+e*) dx + (cosy + Inx)dy = 0 Q5. Use variation of parameters to solve the nonhomogeneous ODE. e5x y" – 10y' + 25y = x2 |
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