state gov RPSC 2nd Grade Senior Teacher Mock Test Series 2025 Mathematics Differential Equations

The differential equation of the family of circles passing the origin and having center at the line y = x is :

1

(x² – y² + 2xy)dx = (x² – y² + 2xy)dy

2

(x² + y² + 2xy)dx = (x² + y² – 2xy)dy

3

(x² – y² + 2xy)dx = (x² – y² – 2xy)dy

4

(x²+ y² – 2xy)dx = (x² + y² + 2xy)dy

5

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