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11. If the following differential equation has to be transformed to a separable form by substituion. a possible function of substitution can be dy -eky+x-1 dx a) u =y-1 c) u = 5y + x-1 d) u = esy+x-1 b) u =y+x-1 12. The following Bernoulli differential equation can be transformed into a linear form by the function ne dy 3 8. +=y = xy a) b) u=y-3 c) u = y* d) u =y 13. Which of the following is a solution of the differential equation d'y dy dx2 a) e6x 6y = 0 - dx b) e-3x c) d) e3x

11. If the following differential equation has to be transformed to a separable form by substituion. a possible function of substitution can be dy -eky+x-1 dx a) u =y-1 c) u = 5y + x-1 d) u = esy+x-1 b) u =y+x-1 12. The following Bernoulli differential equation can be transformed into a linear form by the function ne dy 3 8. +=y = xy a) b) u=y-3 c) u = y* d) u =y 13. Which of the following is a solution of the differential equation d'y dy dx2 a) e6x 6y = 0 - dx b) e-3x c) d) e3x

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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11. If the following differential equation has to be transformed to a separable form by substituion. a possible function of substitution can be dy -eky+x-1 dx a) u =y-1 c) u = 5y + x-1 d) u = esy+x-1 b) u =y+x-1 %3D 12. The following Bernoulli differential equation can be transformed into a linear form by the function ne dy 3 8. +=y = xy %3D a) b) u =y-3 c) u = y* d) u =y 13. Which of the following is a solution of the differential equation d'y dy dx2 a) e6x 6y 0 dx b) e-3x c) d) e3x
Transcribed Image Text:11. If the following differential equation has to be transformed to a separable form by substituion. a possible function of substitution can be dy -eky+x-1 dx a) u =y-1 c) u = 5y + x-1 d) u = esy+x-1 b) u =y+x-1 %3D 12. The following Bernoulli differential equation can be transformed into a linear form by the function ne dy 3 8. +=y = xy %3D a) b) u =y-3 c) u = y* d) u =y 13. Which of the following is a solution of the differential equation d'y dy dx2 a) e6x 6y 0 dx b) e-3x c) d) e3x
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