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Meaning of Rectification of a curve, Rectification of a cartesian curve, Rectification of a parametric curve, Rectification of a polar curve, Typical problems based on rectification, Line Integral, and related Topics.
Meaning of Rectification of a curve, Rectification of a cartesian curve, Rectification of a parametric curve, Rectification of a polar curve, Typical problems based on rectification, Line Integral, 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.
Concept of Direction Cosines, Direction Ratios, Distance between 2 points and DRs of line Joining them, Angle between Lines, Equation of a Line, Equation of a Plane, Angle between Planes, Prependicular distance from a point to a plane, and other topics.
Introduction to a Sphere, Equation of Sphere, Equation of Sphere with given end points of Diameter, Intersection of Plane and Sphere, Great Circle, Intersection of 2 Spheres, Sphere through a given Circle, and other topics.