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First Order Differential Equations Solution

Solution of first order differential equations in the form of $\displaystyle {\frac{dy}{dx}}=f(x,y)$ or $\displaystyle {y'}=f(x,y)$ is made by numerical analysis method. Use the $x$ and $y$ variables. You can use the +, -, *, / math operators and the following functions. Use the pow function to take the exponent. For example, write pow(x,2) for $x^2$.

 The differential equation you want to solve: $\displaystyle {\frac{dy}{dx}}=f(x,y)=$ Formula: Runge-Kutta-Fehlberg Method Runge-Kutta Method Adams-Moulton Method Necessary boundary conditions for solution: $x_0=$ $y_0=$ The desired $x$ value to be found: $x_1=$ Increment $\Delta x=$
 Functions to be used in the equation:$\begin{array}{lllll} x^a & : & \textbf{pow(x,a)} \\sin\, x & : & \textbf{sin(x)} &cos\,x & : & \textbf{cos(x)} \\tan\,x & : & \textbf{tan(x)} & ln\,x & : &\textbf{log(x)} \\e^x & : & \textbf{exp(x)} &\left|x\right| & : & \textbf{abs(x)} \\arcsin\,x & : & \textbf{asin(x)} &arccos\,x& : & \textbf{acos(x)} \\arctan\,x & : & \textbf{atan(x)} &\sqrt{x} & : & \textbf{sqrt(x)} \\\pi & : &\textbf{pi} &e \textrm{ sayısı} & : & \textbf{esay} \\ln\,2 & : &\textbf{LN2} & ln\,10 & : & \textbf{LN10} \\log_{2}\,e & : & \textbf{Log2e} &log_{10}\,e & : & \textbf{Log10e} \end{array}$

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