Which of the following equations can be reduced to be a separable equation? 1. (22 + ry? - y)dr + (y+xy-)dy = 0 II. (2 – zy + y²)dx – rydy = 0 III. ya2 +y?da - z(r +V2 + y²)dy 0 %3D O a. Only I. O b. Only II. Oc. Only II. O d. I. and II. O e. I. and II. O f. II. and III. O g. I., II. and III.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following equations can be reduced to be a separable equation?
1. (22 + ry? - y)dr + (y+ x?y-x)dy = 0
II. (22 – ry + y²)dx – rydy = 0
III. y/a2 + y?dx – x(x + Vr2 +y²)dy = 0
O a. Only I.
O b. Only II.
O c. Only III.
O d. I. and I.
e. I. and IlII.
O f. II. and II.
O g. I., II. and III.
Transcribed Image Text:Which of the following equations can be reduced to be a separable equation? 1. (22 + ry? - y)dr + (y+ x?y-x)dy = 0 II. (22 – ry + y²)dx – rydy = 0 III. y/a2 + y?dx – x(x + Vr2 +y²)dy = 0 O a. Only I. O b. Only II. O c. Only III. O d. I. and I. e. I. and IlII. O f. II. and II. O g. I., II. and III.
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