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answer only 11. Elimination of arbitrary constants *CO (1 Point) y = axe* + ce-3x Oyty' - by =0 Oy thy' - y=0 O

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11. Elimination of arbitrary constants *CO (1 Point) y = axe* + ce-3x Oy"ty' - by =0 Oy " thy' - y=0 O y " ty' - y=0 12. Solution of ODE: Find the solution for the following ODE * (1 Point) " +4y =0 O y = a cos 2x + ca sin 2x O y = 2c cos x + 2cz sinx 13. Families of curve * (1 Point) x: 2 22 + = O families of ellipse with center at the origin O families of circles with center at the origin 14. Identify dependent and independent variable * (1 Point) + : O dependent variable y and independent variable x O dependent variable x and independent variabley 15. Linearity * (1 Point) y' + siny = 0 O linear O non - linear16. Identify the order and degree * m (1 Point) p " (x) + ( ( ) )'=x 2nd order, Ist degree O and order, 2nd degree 17. Identify the order and degree * (1 Point) O and order, Ist degree and order, half degree 18. Solution of ODE: Find the solution for the following ODE * (1 Point) ""+()+1=0 O y = In cos(x - c1) + cz O y = Incosx + c1 + c2 19. Identify dependent and independent variable * (1 Point) d's it2 ;+ 28 = 0 O dependent variable s and independent variablet O dependent variable t and independent variable s 20. Elimination of arbitrary constants (1 Point) (x - a)? + ( - c2)? = 1 O ( 1 + $ 1 2 ) 2 = ( " ; 3 O (ity) = ( "23

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