On what region of the xy-plane does the differential equation would have a unique solution that satisfies the given initial condition. (9-y²)y'=x², y(-3)=-4 a. A uniquesolution exists in the regions y < -3. b. A unique solution exists in the regiony y * ± 3. C. A unique solution exists in the region consisting of all points in the xy-plane except (0,3) and (0, -3). A unique solution exists in the regiony -3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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On what region of the xy-plane does the differential equation
would have a unique solution that satisfies the given initial
condition.
(9-y²)y'=x², y(-3)=-4
A uniquesolution exists in the regions y<-3.
A unique solution exists in the regiony y ±3.
A unique solution exists in the region consisting of
all points in the xy-plane except (0,3) and (0, -3).
A unique solution exists in the regiony - 3<y<3.
e. A unique solution exists in the entire xy - plane.
d.
a.
b.
C.
Transcribed Image Text:On what region of the xy-plane does the differential equation would have a unique solution that satisfies the given initial condition. (9-y²)y'=x², y(-3)=-4 A uniquesolution exists in the regions y<-3. A unique solution exists in the regiony y ±3. A unique solution exists in the region consisting of all points in the xy-plane except (0,3) and (0, -3). A unique solution exists in the regiony - 3<y<3. e. A unique solution exists in the entire xy - plane. d. a. b. C.
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