Syllabus 2020-2021
Unit-I
Exact differential equations. First order and higher degree equations solvable for x, y, p. Clairaut’sform. Singular solution as an envelope of general solutions. Geometrical meaning of a differential equation. Orthogonal trajectories. Linear differential equations with constant coefficients.
Unit-II
Linear differential equations with variable coefficients- Cauchy and Legendre Equations. Linear differential equations of second order- transformation of the equation by changing the dependent variable/the independent variable, methods of variation of parameters and reduction of order. Simultaneous Differential Equations
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Important Questions list.
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