The auxiliary equation of (aD²+bD+c) = 0 is having two real & distinct roots m₁ & m_² then the general solution is

The PDE ∂²u/∂x²+∂²u/∂y² = f(x,y) is called as

The first differentiation of a constant is equal to.

Differential equation for y = A cos ∝ x + B sin ∝x, where A & B are arbitary constants, is

Integrating factor of differential equation cos x dy/dx + y sin x = 1 is

If p & q are roots of x²+px+q=0 then