A⋅B(y(d^2y)/(ux^2))((dy^2)/(dx)^2)-0 III since the equations I, II \& III are consistent in A and B,∴∴\(x|(∂^2y)/(dx^2)|((dy^2)/(dx))^2]⊥y,(dy)/(dx)|-∴xy(d^2y)/(dx^2)+x((dy)/(dx))^2-y(dy)/(dx)=0is the required differential equation...
Statement-1: The differential equation of all circles in a plane must be of order 3.Statement-2: The differential equation of family of curvey=asinx+bcos(x+c), wherea,b,care parameters is 2. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are...
1,Find the general solution of the equationdy/dx=tanxcotydy/dx=y(y-1)/x (1,2)dy/dx=cotxcoty (30度,0)2,Obtain the general solution of the differential equationydytan2x/dx=1-y^23,Find the solution of the differential equation dy/dx=sin^2x/y^2 which also satisfies y=1 when x=...
For the differential equation given below: a)ObtainY(t)as a deviation from its initial steady-state. Use the method of Laplace transforms and partial fractions expansion. The forcing function isx(t)=u(t). b)According to your solution...
aThe supplemental heat and ventilation rate are passed to[translate] ahouse, respectively. Outside temperature is generated as a[translate] aThese inputs (ventilation rate, heating rate, outside[translate] adifferential equation 1 or 2 is integrated to obtain inside[translate]...
We derive a partial differential equation for the Laplace transform of the -time tail distribution function [()>,…,(n)>n]. This PDE can be used to derive all -time moments of the process . As an application, we give a recursive formula for multiple-time moments of the local time of...
DIFFERENTIAL equations, LinearThe conversion of a given n th -order ordinary differential-equation model, with a stepwise-constant input, to an "equivalent" n th -order difference -equation model is an important procedure in many engineering applications, particularly in discrete-time/digital control...
a非线性方程的数值解法,线性方程组的数值解法,插值方法,数值积分及常微分方程初值问题的数值解法 Nonlinear equation value solution, system of linear equations value solution, interpolation method, numerical integration and ordinary differential equation initial-value problem value solution[translate] ...
asome practical problems are often transformed into second order differential equation to solve the problem 一些实用问题经常被变换成二次微分方程解决问题[translate] aThe rich are not always rich. 富有总不是富有的。[translate] aThe rich is not always rich. 富人是不一定丰富的。[translate] ...
To solve the differential equation