Direct General Solution of Riccati Differential Equations with Constant Coefficients
In our study, we express and prove a theorem on the direct general solution of the Riccati differential equations with constant coefficients.
Particular Solutions of the Riccati Differential Equation with Constant Coefficients
In our study, we express and prove as a theorem that there exists at least one particular constant solution to the Riccati differential equation with constant coefficients.
General solution of a Riccati differential equation that a particular solution is known
In our study, our aim is to present the methods of finding the general solution of a Riccati differential equation that a particular solution is known.
Solution of the dif. equation y’+my=P(x) by the method of undetermined coefficient
In our study, the solution of the differential equation y’+my=P(x) is given by the method of undetermined coefficients.
Solution of dif. equation y”+my’=0 by the power series method
In our study, the solution of the differential equation y′′+my′=0 (m≠0) by the power series method is given.
Solution of the dif. equation y”-my=0 (m>0) by the power series method
In our study, the solution of the differential equation y^”-my=0 (m>0) by the power series method is given.
y”+my=0 diferansiyel denkleminin Maclaurin serisiyle çözümü
y”+my=0 diferansiyel denkleminin Maclaurin serisiyle çözümü
1. Mertebeden Lineer Sabit Katsayılı Homojen Dif. Denk.
Çalışmamızda birinci mertebeden lineer sabit katsayılı homojen diferansiyel denklemlerin Maclaurin serisi aracılığıyla çözümü verilmiştir.
Expresssion of factorial and gamma function by Euler’s product
In our study, we first expressed and proved a lemma that we will use in the proof of theorem. Then we state and prove the theorem for factorial. Finally, we arrived at the definition of the gamma function by the Euler’s product.
An important product: Wallis’s product
İn our study, Wallis’s product has been obtained.
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