Category: MATHS(III Year VIDEO)

An Equation of form dy/dx + P(x)y +Q(x) y=R(x) is called linear differential equation of second order where P,Q & R are function of x.

CURVATURE-The curvature vector at a point P of a given curve is the arc rate of rotation of tangent i.e. change in the direction of tangent as the point P moves along the curve and is equal to dt^/ds.the magnitude of curvature vector is called curvature of curve.
TORSION- The Torsion vector at a point P of a curve is the arc rate of change of binomial as the point P moves along the curve and is equal to db^/ds.The magnitude of the torsion vector is called torsion of the curve.

An Integral Equation is Said To be a voltera integral equation if the upper limit of integration is a variable,example- α (x) g(x) =f(x) +λ ∫_a^x▒〖K(x,t),g(t)dt〗 where a is constant, f(x),α(x),K(x,t) are known function And g(x) is unknown function.