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First order ordinary differential equations, applications and examples of first order ode s, linear differential equations, second order linear equations, applications of second order differential equations, higher order linear. Emphasis is on proofs, which are not only mathematically rigorous, but also constructive, where the structure and properties of the solution are investigated in detail. There are so many books which are very useful and i am mentioning here those books which i used to prefer. Chapter 3 is devoted to hyperbolic equations in two and more independent variables and also contains sections on simple waves, and weak solutions and shocks.
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