QUESTION 6 Solve the nonlinear differential equation by substitution method. The solution of the differential equation " = (»') is (Select the correct answer). O a.y= c,x' +c,* O b.y= -In(x/c,)+c2 O c.y= c,x' +c, O d. y=c,e* +c, Oe. y =
QUESTION 6 Solve the nonlinear differential equation by substitution method. The solution of the differential equation " = (»') is (Select the correct answer). O a.y= c,x' +c,* O b.y= -In(x/c,)+c2 O c.y= c,x' +c, O d. y=c,e* +c, Oe. y =
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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![### QUESTION 6
Solve the nonlinear differential equation by substitution method. The solution of the differential equation \( y'' = \left(y'\right)^2 \) is:
(Select the correct answer).
- a. \( y = c_1 x^3 + c_2 x \)
- b. \( y = -\ln\left(\frac{x}{c_1}\right) + c_2 \)
- c. \( y = c_1 x^3 + c_2 \)
- d. \( y = c_1 e^{x} + c_2 \)
- e. \( y = c_1 \int e^{x^2} \, dx + c_2 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63f5865a-7713-44c4-be73-1c5678c4385b%2Fac46cf46-5143-476a-8e8a-291b82ae81c6%2Fq2kem8u_processed.png&w=3840&q=75)
Transcribed Image Text:### QUESTION 6
Solve the nonlinear differential equation by substitution method. The solution of the differential equation \( y'' = \left(y'\right)^2 \) is:
(Select the correct answer).
- a. \( y = c_1 x^3 + c_2 x \)
- b. \( y = -\ln\left(\frac{x}{c_1}\right) + c_2 \)
- c. \( y = c_1 x^3 + c_2 \)
- d. \( y = c_1 e^{x} + c_2 \)
- e. \( y = c_1 \int e^{x^2} \, dx + c_2 \)
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