Equations

# Systems of First Order Differential Equations

The solution of $$\displaystyle \small {\frac{dy}{dt}}=f_1(t,y,z)$$, $$\displaystyle \small {\frac{dz}{dt}}=f_2(t,y,z)$$ shaped differential equation systems, including $$y=y(t)$$ and $$z=z(t)$$, is done by numerical analysis method. You can use the +, -, *, / math operators and the following functions. Use the pow function to take the exponent. For example, for $$t^ 2$$, type pow (t, 2).

 The differential equation you want to solve: Variable Number Formula: Runge-Kutta-Fehlberg Runge-Kutta Adams-Moulton Show intermediate valuesJust show the result
 Variables $$\displaystyle\small {\frac{dy}{dt}}=f_1(t,y,z)=$$ $$\displaystyle\small {\frac{dz}{dt}}=f_2(t,y,z)=$$ Necessary boundary conditions for solution $$\displaystyle\small t_{0}=$$ $$\displaystyle\small y_{0}=$$ $$\displaystyle\small z_{0}=$$ The desired $$t$$ value $$\small t_n=$$ Increment $$\small\Delta t=$$
 Equation Solution Differential Equations Differential Equation Solution Higher Order Differential Equation Systems of First Order Differential Eq. Systems of nth Order Differential Equations
 Functions to be used in equations:$$\begin{array}{lll|lll} x^a & : & \mathrm{pow(x,a)} \\\sin\, x & : & \mathrm{sin(x)} &\cos\,x & : & \mathrm{cos(x)} \\\tan\,x & : &\mathrm{tan(x)} &\ln\,x & : & \mathrm{log(x)} \\e^x & : & \mathrm{exp(x)} &\left|x\right| & : & \mathrm{abs(x)} \\\arcsin\,x & : & \mathrm{asin(x)} &\arccos\,x & : & \mathrm{acos(x)} \\\arctan\,x & : & \mathrm{atan(x)} &\sqrt{x} & : & \mathrm{sqrt(x)} \\ \\\pi & : & \mathrm{pi} &e \mathrm{ sayısı} & : & \mathrm{esay} \\\ln\,2 & : &\mathrm{LN2} & \ln\,10 & : & \mathrm{LN10} \\\log_{2}\,e & : & \mathrm{Log2e} & \log_{10}\,e & : & \mathrm{Log10e} \end{array}$$

 Products    Equation Solver    Calculator    Unit Conversion    Reference    Contact Pipe Calculations    Chimney Calculation    Air Ducts    Air Conditioning    Kenan KILIÇASLAN 2012© Copyright.       Designed by Nuit