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About Krishna's - B.Sc. Obj. Differential Equations & integral Transforms
<span>SYLLABUS- B.Sc. OBJ. DIFFERENTIAL EQUATIONS & INTEGRAL TRANSFORMS,</span><br><span>Differential Equations</span><br><span>Unit 1</span><br><span>Formation of a differential equation (D.E.), Degree, order and solution of a D.E., Equations of first order and first</span><br><span>degree : Separation of variables method, Solution of homogeneous equations, linear equations and exact</span><br><span>equations, Linear differential equations with constant coefficients, Homogeneous linear differential equations.</span><br><span>Unit 2</span><br><span>Differential equations of the first order but not of the first degree, Clairaut's equations and singular solutions,</span><br><span>Orthogonal trajectories, Simultaneous linear differential equations with constant coefficients, Linear differential</span><br><span>equations of the second order (including the method of variation of parameters).</span><br><span>Unit 3</span><br><span>Series solutions of second order differential equations, Legendre and Bessel functions (Pn and Jn only) and their</span><br><span>properties.</span><br><span>Order, degree and formation of partial differential equations, Partial differential equations of the first order,</span><br><span>Lagrange's equations, Charpit's general method, Linear partial differential equations with constant coefficients.</span><br><span>Unit 4 (i)</span><br><span>Partial differential equations of the second order, Monge's method.</span><br><span>Integral Transforms</span><br><span>Unit 4 (ii)</span><br><span>The concept of transform, Integral transforms and kernel, Linearity property of transforms, Laplace transform,</span><br><span>Inverse Laplace transform, Convolution theorem, Applications of Laplace transform to solve ordinary differential</span><br><span>equations.</span><br><span>Unit 5</span><br><span>Fourier transforms (finite and infinite), Fourier integral, Applications of Fourier transform to boundary value</span><br><span>problems, Fourier series.</span></br></br></br></br></br></br></br></br></br></br></br></br></br></br></br></br></br></br></br></br></br></br></br></br>
Detailed Information
| Author: | ,,, |
|---|---|
| Publication Year: | 2021 |
| Pages: | 152 |
| Language: | other |
| File Size: | 6.4702 |
| Format: | |
| Price: | FREE |
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