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On Solutions of Second Order Differential Equations | ||
| journal of al-qadisiyah for pure science(quarterly) | ||
| Article 1, Volume 7, Issue 1, 2007, Pages 322-337 PDF (0 K) | ||
| Author | ||
| Assis.prof. Ali Hassan Mohammed | ||
| Abstract | ||
| Our aim in this work is to give the general form for finding the general solution to the differential equation which has the form y″+ p (x) y'+ Q (x) y =0 and its proofs by using the assumption Z x dx y e ( ) which changes the above equation to Riccati equation which has the form Z' +Z² + p (x) Z+ Q(x) = 0 . Introduction Many researchers in the field of differential equations and others, may face the problem of solving some differential equations whose solutions are difficult to find by using the simple methods . Therefore , they are trying to solve these equations by the power series or the Frobenius method [7] . Mohammed [4] faced difficulties in solving equations with the following forms | ||
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