Page 1 CBSE TEST PAPER-02 CLASS - XII MATHEMATICS (Calculus: Differential Equations) 1. Find the order and degree 4 2 2 ds d s 3 0 dt dt s ? ? + = ? ? ? ? [1] 2. Verity that the function is a solution of the corresponding diff eq. -1 2 1 2 x + y = tan y ; y y + y + 1 = 0 [1] 3. Form the differential equation representing the family of ellipses having foci on x â€“ axis and centre at the origin. [4] 4. Form the diff. eq of the family of circles touching the x â€“ axis at origin. [4] 5. Solve the diff eq. ( ) x x 2 e tan y dx + 1 e Sec y dy = 0 - [4] 6. Solve Cos dy =a, ; y = 1 when x = 0 dx ? ? ? ? ? ? [4] 7. Solve. ( ) 2 2 x - y dx+2xy dy = 0 [4] 8. Solve x Cos + y Sin y dx = y Sin - x Cos x dy y y y y x x x x ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? [4] 9. Find the particulars solution of diff . equation. ( ) 2 1+x 2 dy xy dx Cotx dx + = [6] 10. Find the particular solution of diff. equation x Cot x = 0 dy y x xy dx + - + [6]Read More

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