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Note for Applied Mathematics - 2 - M-2 By vtu rangers

  • Applied Mathematics - 2 - M-2
  • Note
  • Visvesvaraya Technological University Regional Center - VTU
  • 31 Topics
  • 133361 Views
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Topics ( 31 )

Differential Equations 1 Solution of Non-Homogenous D.E 7 Homogenous D.E of higher Order 10 Solution of Non-Homogenous D.E 13 Type-1(Exponential) 14 Type-2(Trigonometric) 30 Type-3(Polynomial) 42 Type-5(function of x) 58 Method of Variation of Parameters 70 Method of Undetermined Co-efficient 90 Legendre's Linear D.E 102 Cauchy's Linear D.E. 110 Differential Equation of 1st order and higher degree 115 Equation Solvable for y 129 Equatin solvable for x 134 Claircuit's Equation 140 PDE(Partial Differential Equations) 147 PDE by eliminating arbitary function 150 Solution of Non-homogenous PDE by Direct Integration 159 Solution of PDE involving Derivative 164 Solution of Wave Equation 174 Solution of Heat equation 177 Laplace Transform 197 Properties of Laplace Transform 206 Laplace transform of Periodic Form 218 Unit Step Function 225 Inverse Laplace Transform 229 Computing the Squares 235 Inverse Laplace Transform by Partial Fractions 238 Convolution Theorum 247 Solution of linear D.E by Laplace 254
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