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Reducing Tan ^{n}x & Cot ^{n}x, Reducing Sec ^{n}x & Cosec ^{n}x, Reducing x^{n}.Sin ax & x^{n}.Cos ax, Reducing e^{ax}.Sin ^{n}x & e^{ax}Cos ^{n}x, Reducing x^{n}. e^{ax}, Reducing x^{m}(Logx)^{n}, and related Topics.
Concept of a Reduction Formula, Reducing Sin ^{n}x & Cos ^{n}x, Typical Integrals solvable by reducing Sin ^{n}x & Cos ^{n}x, Reducing Sin ^{n}x.Cos ^{n}x, Typical Integrals solvable by reducing Sin ^{n}xCos ^{n}x, and other topics.
Reducing Tan ^{n}x & Cot ^{n}x, Reducing Sec ^{n}x & Cosec ^{n}x, Reducing x^{n}.Sin ax & x^{n}.Cos ax, Reducing e^{ax}.Sin ^{n}x & e^{ax}Cos ^{n}x, Reducing x^{n}. e^{ax}, Reducing x^{m}(Logx)^{n}, 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.
Steps for Solving a general First Order DE, DE of Type dU(x,y) = dV(x,y), and other topics.
Gamma Function and its Properties, Beta Functions and its Properties, and other topics.