Differensial deňlemeler

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Differensial deňlemeleriñ görnüşleri

1. ${\frac {du}{dx}}=cu+x^{2}.$${\frac {du}{dx}}=cu+x^{2}.$
2. ${\frac {d^{2}u}{dx^{2}}}-x{\frac {du}{dx}}+u=0.$${\frac {d^{2}u}{dx^{2}}}-x{\frac {du}{dx}}+u=0.$
3. ${\frac {d^{2}u}{dx^{2}}}+\omega ^{2}u=0.$${\frac {d^{2}u}{dx^{2}}}+\omega ^{2}u=0.$
4. ${\frac {du}{dx}}=u^{2}+1.$${\frac {du}{dx}}=u^{2}+1.$
5. $L{\frac {d^{2}u}{dx^{2}}}+g\sin u=0.$$L{\frac {d^{2}u}{dx^{2}}}+g\sin u=0.$
6. ${\frac {\partial u}{\partial t}}+t{\frac {\partial u}{\partial x}}=0.$${\frac {\partial u}{\partial t}}+t{\frac {\partial u}{\partial x}}=0.$
7. ${\frac {\partial ^{2}u}{\partial x^{2}}}+{\frac {\partial ^{2}u}{\partial y^{2}}}=0.$${\frac {\partial ^{2}u}{\partial x^{2}}}+{\frac {\partial ^{2}u}{\partial y^{2}}}=0.$
8. ${\frac {\partial u}{\partial t}}=6u{\frac {\partial u}{\partial x}}-{\frac {\partial ^{3}u}{\partial x^{3}}}.$${\frac {\partial u}{\partial t}}=6u{\frac {\partial u}{\partial x}}-{\frac {\partial ^{3}u}{\partial x^{3}}}.$

Daşarky çykgytlar

• «Мир математических уравнений» — EqWorld
• Русскоязычные ресурсы по дифференциальным уравнениям
• Дифференциальные уравнения // Двайт Г. Б., Таблицы интегралов и другие математические формулы
• Примеры решения дифференциальных уравнений
• Online решения дифференциальных уравнений
• Lectures on Differential Equations
• Online Notes / Differential Equations
• Differential Equations
• Differential Equation Solver
• http://www.fioravante.patrone.name/mat/u-u/en/differential_equations_intro.htm
• Mathematical Assistant on Web
• Exact Solutions of Ordinary Differential Equations
• Collection of ODE and DAE models of physical systems
• Notes on Diffy Qs: Differential Equations for Engineers
• Khan Academy Video playlist on differential equations
• MathDiscuss Video playlist on differential equations