The slope field for a certain differential equation is shown above. Which of the following statements about a solution y = f(z) to the differential equation must be false? The graph of the particular solution that satisfies f(-3) = 2is concave up on the interval -3

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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\3+ \
\2+
\1*
2
3
-1* / / I / I | |
-2+ / ||| |||
-3+ I | | | | | |
| |
The slope field for a certain differential equation is shown above. Which of the following statements about a solution y = f(z) to the differential equation must be false?
The graph of the particular solution that satisfies f(-3) = 2 is concave up on the interval –3 <I < 3.
в
The graph of the particular solution with f(-2) = -2 has a relative minimum at z =-2.
c) The graph of the particular solution that satisfies f(0) = -2 is concave up on the interval -1 <I<3.
D) The graph of the particular solution that satisfies f(1) = 0 is linear.
|\\\\
/ | \ \ \
/ / | \ \ \
/// | \ \
Transcribed Image Text:\3+ \ \2+ \1* 2 3 -1* / / I / I | | -2+ / ||| ||| -3+ I | | | | | | | | The slope field for a certain differential equation is shown above. Which of the following statements about a solution y = f(z) to the differential equation must be false? The graph of the particular solution that satisfies f(-3) = 2 is concave up on the interval –3 <I < 3. в The graph of the particular solution with f(-2) = -2 has a relative minimum at z =-2. c) The graph of the particular solution that satisfies f(0) = -2 is concave up on the interval -1 <I<3. D) The graph of the particular solution that satisfies f(1) = 0 is linear. |\\\\ / | \ \ \ / / | \ \ \ /// | \ \
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