CBCS/ SEMESTER SYSTEM
/B.Sc. MATHEMATICS (w.e.f. 2020-21 Admitted Batch)
DIFFERENTIAL EQUATIONS SYLLABUS
UNIT – I (12 Hours)
Differential Equations of first order and first degree:
Linear Differential Equations; Differential equations reducible to linear form; Exact differential
equations; Integrating factors; Change of variables.
Differential Equations of first order and first degree: download link
UNIT – II (12 Hours)
Orthogonal Trajectories
Differential Equations of first order but not of the first degree:
Equations solvable for p; Equations solvable for y; Equations solvable for x; Equations that do not
contain x (or y); Equations homogeneous in x and y;Equations of the first degree in x and y – Clairaut’s
Equation.
Orthogonal Trajectories unit-2 download link
UNIT – III (12 Hours)
Higher order linear differential equations-I:
Solution of homogeneous linear differential equations of order n with constant coefficients; Solution of
the non-homogeneous linear differential equations with constant coefficients by means of polynomial
operators.General Solution of f(D)y=0.
General Solution of f(D)y=Q when Q is a function of x,1/f(D)
is expressed as partial fractions.
P.I. of f(D)y = Q when Q= ax be
P.I. of f(D)y = Q when Q is bsinax or b cos ax.
Higher order linear differential equations-I:unit3 download link
UNIT – IV (12 Hours)
Higher order linear differential equations-II
Solution of the non-homogeneous linear differential equations with constant coefficients.
P.I. of f(D)y = Q when Q= kbx
P.I. of f(D)y = Q when Q= ax e V , where V is a function of x.
P.I. of f(D)y = Q when Q= xV , where V is a function of x.
P.I. of f(D)y = Q when Q= mx V , where V is a function of x.
Higher order linear differential equations-II: unit4 download link
UNIT –V (12 Hours)
Higher order linear differential equations-III
Method of variation of parameters; Linear differential Equations with non-constant coefficients; The
Cauchy-Euler Equation, Legendre's linear equations, miscellaneous differential equations.
Co-Curricular Activities(15 Hours)
Seminar/ Quiz/ Assignments/ Applications of Differential Equations to Real life Problem /Problem
Solving.
Higher order linear differential equations-III :unit5 download link