1Q: Simplify the following complex number (+)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3
1Q: Simplify the following complex number +³
2Q: Find the roots of √64 ¹.4i using De Movier's Theorem.
3Q: Convert complex number (-2 - 6 i) to the polar form and represent it graphically.
Also change the polar coordinate complex number 8 (cos 235° + i sin 235°) into rectangular
form and find the logarithmic function of the complex
number.
4Q: Solve the differential equation 2y" + xy' + x²y = 0 by Power series method.
5Q: Solve the differential equation by Frobenius method with coefficients represented up to and
including x³
3
2x2q²y
dx²
- x + (x² + 1)y = 0.
dy
dx
Transcribed Image Text:3 1Q: Simplify the following complex number +³ 2Q: Find the roots of √64 ¹.4i using De Movier's Theorem. 3Q: Convert complex number (-2 - 6 i) to the polar form and represent it graphically. Also change the polar coordinate complex number 8 (cos 235° + i sin 235°) into rectangular form and find the logarithmic function of the complex number. 4Q: Solve the differential equation 2y" + xy' + x²y = 0 by Power series method. 5Q: Solve the differential equation by Frobenius method with coefficients represented up to and including x³ 3 2x2q²y dx² - x + (x² + 1)y = 0. dy dx
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