For the differential equation whose solution is `(x-h)^2+(y-k)^2=a^2` `(a` is a constant), its (a) order is 2 (b) order is 3 (c) degree is 2 (d) degree is 3

The differential equation whose solution is Ax^(2)+By^(2)=1, where A and B are arbitrary constants,is of (a) second order and second degree (b) first order and second degree (c) first order and first degree (d) second order and first degree

The differential equation representing the family of curves y^(2)=2c(x+sqrt(c)), where c is a positive parameter,is of (A) order 1 (B) order 2(C) degree 3(D) degree 4

The order & the degree of the differential equation whose general solution is,y=c(x-c)^(2), are respectively

The order and degree of the differential equation, whose solution represents the family c(y+c)^(2)=x^(3) are (where c is a parameter )

The differential equation representing the family of curves y^2=2c(x+sqrt(c)) where c gt 0 is a parameter, is of order and degree as follows: (A) order 1, degree 3 (B) order 2, degree 2 (C) order 1, degree 2 (D) order 1, degree 1

STATEMENT-1 : If m and n are respectively order and degree of differential equation , then m and n are mutually independent. STATEMENT-2 : If general solution of a differential equation contains two arbitrary constants, then its order is 2. STATEMENT-3 : The order and degree of differential equation sqrt(1+((dy)/(dx))^(2)) = (x(d^(2)y)/(dx^(2)))^(1//3) are 2 and 2 respectively.

Find the order and degree of the differential equation log_e(1+(d^2y)/dx^2)=x

The differential equation representing the family of curves y^(2)=2c(x+sqrt(c)) ,where c>0 ,is a parameter,is of order and degree as follows: (A) order 1 ,degree 2 (B) order 1 ,degree 1 (C) order 1 ,degree 3 (D) order 2 ,degree 2

The differential equation of all parabolas each of which has a latus rectum 4a and whose axes are parallel to the x-axis is (a) of order 1 and degree 2 (b) of order 2 and degree 3(c) of order 2 and degree 1 (d) of order 2 and degree 2

The order and degree of equation whose solution is given by y=cx +c^(3)-4c^(3//2)+7 where 'c' is arbitrary constant are