Practical Calculations Equation Solve Differential Equation Solver

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:
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:
$\begin{array}{lllll} x^a & \hookrightarrow & \textbf{pow(x,a)} \\sin\, x & \hookrightarrow & \textbf{sin(x)} &cos\,x & \hookrightarrow & \textbf{cos(x)} \\tan\,x & \hookrightarrow & \textbf{tan(x)} & ln\,x & \hookrightarrow &\textbf{log(x)} \\e^x & \hookrightarrow & \textbf{exp(x)} &\left|x\right| & \hookrightarrow & \textbf{abs(x)} \\arcsin\,x & \hookrightarrow & \textbf{asin(x)} &arccos\,x& \hookrightarrow & \textbf{acos(x)} \\arctan\,x & \hookrightarrow & \textbf{atan(x)} &\sqrt{x} & \hookrightarrow & \textbf{sqrt(x)} \\\pi & \hookrightarrow &\textbf{pi} &e \textrm{ sayısı} & \hookrightarrow & \textbf{esay} \\ln\,2 & \hookrightarrow &\textbf{LN2} & ln\,10 & \hookrightarrow & \textbf{LN10} \\log_{2}\,e & \hookrightarrow & \textbf{Log2e} &log_{10}\,e & \hookrightarrow & \textbf{Log10e} \end{array}$

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