Mlinganyo tenguo

Mlinganyo tenguo ni aina ya mlinganyo ambayo yanalinganishwa mabadiliko mawili yanayotokea kwa wakati mmoja. Lengo ni kuona jinsi badiliko moja linavyosababisha au kuathiri badiliko la pili.

Milinganyo ya namna hiyo ilitegemea Historia ya kalkulasi kwa juhudi za Isaac Newton na Gottfried Leibniz.

Isaac Newton aliorodhesha aina tatu:

$\begin{array}{cc}& \frac{dy}{dx}=f(x)\\ & \frac{dy}{dx}=f(x,y)\\ & x_1\frac{\partial y}{\partial x_1}+x_2\frac{\partial y}{\partial x_2}=y\end{array}$

Programu tete

• ExpressionsinBar
• Maple: dsolve
• SageMath
• Xcas: desolve(y'=k*y,y)

Viungo vya nje

• Lectures on Differential Equations Kigezo:Wayback MIT Open CourseWare Videos
• Online Notes / Differential Equations Paul Dawkins, Lamar University
• Differential Equations, S.O.S. Mathematics
• Introduction to modeling via differential equations Introduction to modeling by means of differential equations, with critical remarks.
• Mathematical Assistant on Web Symbolic ODE tool, using Maxima
• Exact Solutions of Ordinary Differential Equations
• Collection of ODE and DAE models of physical systems Kigezo:Wayback MATLAB models
• Notes on Diffy Qs: Differential Equations for Engineers An introductory textbook on differential equations by Jiri Lebl of UIUC
• Khan Academy Video playlist on differential equations Topics covered in a first year course in differential equations.
• MathDiscuss Video playlist on differential equations