`(d^(2)y)/(dx^(2))+(a^(2)+b^(2))(dy)/(dx)+a^(2)b^(2)y=0`

Which of the following equation is linear ((d^(2)y)/(dx^(2)))^(2)+x^(2)((dy)/(dx))^(2)=0

If y=e^(ax)cos bx, Show that (d^(2)y)/(dx^(2))-2a(dy)/(dx)+(a^(2)+b^(2))y=0

Find the degree of the differential equation ((d^(2)y)/(dx^(2)))^((2)/(3))-(dy)/(dx) - y = 0

If x=log pandy=(1)/(p), then (a) (d^(2)y)/(dx^(2))-2p=0 (b) (d^(2)y)/(dx^(2))+y=0 (c) (d^(2)y)/(dx^(2))+(dy)/(dx)=0( d) (d^(2)y)/(dx^(2))-(dy)/(dx)=0

What is the degree of the differential equation (d^(2) y)/(dx^(2)) + 2 ((d^(2) y)/(dx^(2)))^(2) - (dy)/(dx) + y = 0

The degree of the differential equation : xy((d^(2)y)/(dx^(2)))^(2)+x^(4)((dy)/(dx))^(3)-y(dy)/(dx)=0 is :

find the order and degree of D.E : (1) ((d^(2)y)/(dx^(2) ))^2 + ((dy)/(dx))^(3) = e^(x) (2) sqrt(1 + 1/((dy)/(dx))^(2))= ((d^(2)y)/(dx^(2)))^(3/2) (3) e^((dy)/(dx))+ (dy)/(dx) =x

For each of the following differential equations verify that the accompanying functions a solution.Differential Function x(dy)/(dx)=yy=axx+y(dy)/(dx)=0y=+-sqrt(a^(2)-x^(2))x(dy)/(dx)y=y^(2)y=(a)/(x+a)x^(3)(d^(2)y)/(dx^(2))=1y=ax+b+(1)/(2x)y=((dy)/(dx))^(2)y=(1)/(4)(x+-a)^(2)

If y=log(1+sinx)," then "(d^(3)y)/(dx^(3))+(d^(2)y)/(dx^(2))(dy)/(dx)=

If y=e^(ax) sin be then prove that (d^2y)/(dx^(2))-2a(dy)/(dx)+(a^(2)+b^(2))y=0 .