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Typical Problems on Fourier Series, Kth Partial Sum, Deductions based on Fourier Series (where f(x) is continuous), Deductions based on Fourier Series (where f(x) is discontinuous), and related Topics.
Introduction to Fourier series, Fourier Series in an arbitrary period of 2L, Even and Odd functions in (-L,L), Dirichlet's Conditions, and other topics.
Typical Problems on Fourier Series, Kth Partial Sum, Deductions based on Fourier Series (where f(x) is continuous), Deductions based on Fourier Series (where f(x) is discontinuous), and other topics.
Half Range Cosine Series, Half Range Sine Series, Typical Problems on Half Range Fourier Series, Complex Form of Fourier Series, and other topics.
Fourier Series and Practical Harmonic Analysis, Typical Problems on Harmonic Analysis, and other topics.
Introduction to DE, Ordinary DE, Partial DE, Order, Degree, Formation of DE, Variable Separable DE, Concept of Particular and General Solution, Solving by Substitution, and other topics.
Homogeneous DE, Type dy/dx=(a1x+b1y+c1)/(a2x+b2y+c2), Type dy/dx=[K1(ax+by)+c1]/[K2(ax+by)+c2], and other topics.
First Order Linear DE, Solution of First Order Linear DE, DE of type f'(y)dy/dx + P(x)f(y) = Q(x), Bernoulli's Equation, and other topics.
Exact DE and Concept of Potential Function, Test for Exactness, Types of DEs Reducible to Exact form, and other topics.