Consider the initial value problem 4x +1 y' 2y – 4 y (0) = 0 Which of the following statements are true? I. The equation is separable II. The equation is exact III. The implicit form of its solution is y? – 4y = x4 + x IV. The explicit form of its solution is y = 2+ Vr4 +x+4 A) I and III В) I and III С) I, I and IV D) I, II and III E) I, II and IV

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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Consider the initial value problem
4x3 + 1
y'
2y – 4
y (0) = 0
Which of the following statements are true?
I. The equation is separable
II. The equation is exact
III. The implicit form of its solution is y? – 4y = x4 + x
IV. The explicit form of its solution is y = 2+ Vr4 +x+4
A) I and III
В) I and III
С) I, II and Iу
D) I, II and III
E) I, II and IV
Transcribed Image Text:Consider the initial value problem 4x3 + 1 y' 2y – 4 y (0) = 0 Which of the following statements are true? I. The equation is separable II. The equation is exact III. The implicit form of its solution is y? – 4y = x4 + x IV. The explicit form of its solution is y = 2+ Vr4 +x+4 A) I and III В) I and III С) I, II and Iу D) I, II and III E) I, II and IV
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