SOLUTIONS OF DIFFERENTIAL EQUATIONSELSEVIERModeling in Transport Phenomena (Second Edition)
Most introductory differential equations textbooks include an entire module on power series solutions. This text has only a single section on the topic, so several important issues are not addressed here, particularly issues related to existence of solutions. The examples and exercises in this s...
Example: Verifying Solutions of Differential Equations Verify that the function y=e−3x+2x+3y=e−3x+2x+3 is a solution to the differential equation y′+3y=6x+11y′+3y=6x+11. Show Solution Watch the following video to see the worked solution to Example: Verifying Solutions of Differential...
Ordinary Differential Equations: An ordinary differential equation is an equation that contains ordinary derivatives of the dependent variable y with respect to the independent variable x and the dependent variable itself. For example, {eq}\dis...
A function y(t) satisfies the differential equation dydt=y4−6y3+5y2. What are the constant solutions of the equation? Solutions of Differential Equations: If a function y=f(x) satisfies the differential equation dydt=G(y), that is, f...
In this paper, we study the advanced differential equations and By using the generalized Riccati transformation and the Schauder-Tyichonoff theorem, we establish the conditions for the existence of positive solutions of the above equations. MSC:34K11, 39
CENGAGE ENGLISH-DIFFERENTIAL EQUATIONS-EXAMPLES Solve (x+y(dy)/(dx))/(y-x(dy)/(dx))=x^2+2y^2+(y^4)/(x^2) 03:19 Solve : {xcos(y/x)+ysin(y/x)}ydx={ysin(y/x)-xcos(y/x)}xdy 06:34 Solve (dy)/(dx)=((x+y)^2)/((x+2)(y-2)) 05:52 Solve y((dy)/(dx))^...
Journal of Differential Equations Volume 58, Issue 3,July 1985, Pages 307-317 On the growth of the solutions of the differential equation¦¦div(¦▽u¦p−2▽u) = 0inn-dimensional space Author links open overlay panel Show more ...
Power series representations of functions can sometimes be used to find solutions to differential equations. Differentiate the power series term by term and substitute into the differential equation to find relationships between the power series coefficients. Key Equations Candela Citations CC licensed cont...
4) solution of differential equations 微分方程的解 1. If this model to be established is composed of autonomy equation(s),it is usually difficult to obtain the solution of differential equations. 此时,可以转移到相平面上,通过分析方程解的稳定性和发展趋势,进而求得微分方程的解。 更多例句>> ...