CALCULUS AND DIFFERENTIAL EQUATIONS-IN HINDI

Unit-2 Curvature. Tests for concavity and convexity, Points of inflexion. Multiple points, Tracing of curves in cartesian and polar coordinates.

Unit-3 Integration of transcendental functions. Definite Integrals. Reduction formulae. Quadrature, Rectification.

Unit-4 Linear differential equations and equations reducible to the linear form, Exact differential equations, first order and higher degree equations for x, y and p, Clairaut’s equation and singular solutions. Geometrical meaning of a differential equation. Orthogonal trajectories.

Unit-5 Linear differential equations with constant coefficients. Homogenous linear ordinary differential equations, linear differential equations of second order. Transformation of equations by changing the dependent variable and independent variable. Method of variation of parameters.