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![]() ![]() Taylor’s Theorem, Maxima, and Minima, Lagrange’s multipliers III: Differential Calculus(Two and Three variables) Second-order linear homogeneous equations with constant coefficients differential operators solution of homogeneous equations Euler-Cauchy equation linear dependence and independence Wronskian Solution of nonhomogeneous equations: general solution, complementary function, particular integral solution by variation of parameters undetermined coefficients higher order linear homogeneous equations applications. II: Linear Differential equations of 2nd and higher-order ![]() This is an online topic wise solutions & notes on Engineering Mathematics for BTech First Year students.īasic concepts and definitions of 1st order differential equations Formation of differential equations solution ofĭifferential equations: variable separable, homogeneous, equations reducible to homogeneous form, exact differential equation, equations reducible to exact form, linear differential equation, equations reducible to linear form (Bernoulli’s equation) orthogonal trajectories, applications of differential equations.
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