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List of Equations

The database contains 304 equations (48 equations are awaiting activation).

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Found 304 equations, 31 pages (10 eqs. per page): << 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 >>

	Category	Equation(s)	Author/ Contributor	Actions
1	1. Ordinary Differential Equations 1.2. Second-Order Linear Equations	$$\displaystyle y''_{xx} + f(x)y'_x + g(x)y = 0$.$	Andrei Polyanin Submitted: 09 Jul 07 18:59	Details Edit
2	1. Ordinary Differential Equations 1.3. Second-Order Nonlinear Equations	$\noindent $\displaystyle [x+(2y-xy'_x)^3(y'_x)^2]y''_{xx}=y'_x$.$	Valentin Zaitsev Submitted: 11 Dec 06 12:53 Edited (admin): 11 Dec 06 13:47	Details Edit
3	1. Ordinary Differential Equations 1.3. Second-Order Nonlinear Equations	$\noindent $\displaystyle [(2x-9y)y'_x+3y]y''_{xx}=2(1-3y'_x)(y'_x)^2$.$	Valentin Zaitsev Submitted: 11 Dec 06 13:01 Edited (admin): 12 Dec 06 23:55	Details Edit
4	1. Ordinary Differential Equations 1.5. Higher-Order Nonlinear Equations	$\noindent $\displaystyle y^{(n)}_x=f(x,y,y'_x,\dots,y^{(n-1)}_x)$.$	Yurii Kosovtsov Submitted: 08 Dec 06 14:07 Edited (author): 15 Dec 06 13:43 Edited (admin): 25 Jun 08 19:41	Details Edit
5	1. Ordinary Differential Equations 1.6. Systems of Two Nonlinear Equations	$\noindent $\displaystyle x''_{tt}=xf(x^2+y^2,y/x)-yg(y/x)$,\hfill\break $\displaystyle y''_{tt}=yf(x^2+y^2,y/x)+xg(y/x)$.$	Andrei Polyanin Submitted: 07 Dec 06 15:28	Details Edit
6	1. Ordinary Differential Equations 1.7. Nonlinear Systems of Three and More Equations	$\noindent $\displaystyle y'_i=f_i(t,y_1,\dots,y_n),\qquad i=1,\dots,n$.$	Yurii Kosovtsov Submitted: 10 Dec 06 16:32 Edited (author): 15 Dec 06 13:34 Edited (admin): 12 Dec 06 23:41	Details Edit
7	2. First-Order Partial Differential Equations 2.1. Linear Equations	$$\displaystyle \frac{\partial w}{\partial t}+y\frac{\partial w}{\partial x}+ f(t)\frac{\partial w}{\partial y}=0$.\hfill\break$	Igor Sergeev Submitted: 08 Feb 10 19:11 Edited (admin): 09 Feb 10 20:50	Details Edit
8	2. First-Order Partial Differential Equations 2.3. Nonlinear Equations	$\noindent $\displaystyle f_1(x,y,z)\frac{\partial w}{\partial x}+ f_2(x,y,z)\frac{\partial w}{\partial y} +f_3(x,y,z)\frac{\partial w}{\partial z}+\sqrt{ \Bigl(\frac{\partial w}{\partial x}\Bigr)^{\!2}+ \Bigl(\frac{\partial w}{\partial y}\Bigr)^{\!2}+ \Bigl(\frac{\partial w}{\partial z}\Bigr)^{\!2}}=1$.$	Alexei Zhurov Submitted: 17 Dec 06 10:13 Edited (admin): 18 Dec 06 15:45	Details Edit
9	3. Linear Partial Differential Equations 3.1. Second-Order Parabolic Equations	$$\displaystyle \frac{\partial w}{\partial t}-\dfrac{1}{2}\frac{\partial^2 w}{\partial x^2}=0$.$	Nikolay Sukhomlin Submitted: 16 Jun 08 20:52 Edited (admin): 23 Jun 08 19:21	Details Edit
10	3. Linear Partial Differential Equations 3.1. Second-Order Parabolic Equations	$$\displaystyle \frac{\partial w}{\partial t}+ax^2\frac{\partial^2w}{\partial x^2}=0$.$	Valeriy Stepuchev Submitted: 18 May 08 22:44 Edited (admin): 25 Jun 08 16:09	Details Edit

Found 304 equations, 31 pages (10 eqs. per page): << 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 >>

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