Solve z2 = 1+ p² + q² . Ans. Complete integral is cosh-(z) = (a. 1

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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O Solve z² = 1 +p² + q².
Ans. Complete integral is cosh-'(2) = (ax + y) + c.
1
Va2+1
2 Solve z =
p2 + q².
1
Ans. Complete integral is 2vz =
VaR (ax + y) + c.
Va2+1
3 Solve 9(p² z + q²) = 4.
Ans. Complete integral is (z + a²) = (x + ay + c)².
O Solve p(1+q) = qz.
Ans. Complete integral is x + ay = log{c(az – 1)}.
Transcribed Image Text:O Solve z² = 1 +p² + q². Ans. Complete integral is cosh-'(2) = (ax + y) + c. 1 Va2+1 2 Solve z = p2 + q². 1 Ans. Complete integral is 2vz = VaR (ax + y) + c. Va2+1 3 Solve 9(p² z + q²) = 4. Ans. Complete integral is (z + a²) = (x + ay + c)². O Solve p(1+q) = qz. Ans. Complete integral is x + ay = log{c(az – 1)}.
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