2013年4月18日 · To say you have a unique solution means that this is the ONLY function that satisfies both the differential equation and the initial condition. The graph of this function is the only solution curve that passes through the initial point. For this, we obviously need to be given an initial condition.

How to find a general solution as 2nd order linear differential equation is given with zero value of RHS and only one particular solution is known Hot Network Questions Girl acquires a dollhouse that seems perfect.

2011年10月29日 · It often happens that we can only be content with an implicit solution (or a parametric solution, which is a somewhat better state of affairs than having just an implicit solution). One famous example is the differential equation that pops up in …

Is a differential equation still having a general solution even if the differential equation have a singular solution? for example: \begin{aligned} \frac{dy}{dx} = x y^{1/2} \end{aligned}

Question: 29. (a) Find a general solution of the differential equation dy/dx = y2. (b) Find a singular solution that is not in- cluded in the general solution. (c) Inspect a sketch of typi- cal solution curves to determine the points (a, b) for which the initial value problem y' = y2, y(a) = b has a unique solution.

Find the general solution to the differential equation x^2+3xy+xdy/dx=0 Find the integrating factor, u(x)= Find y(x)= Use C as the unknown constant. Your solution’s ready to go! Our expert help has broken down your problem into an easy-to-learn solution you can count on.

2020年3月31日 · Here I tried to find the general solution of the following linear differential equation but couldn't correctly find the answer . 1 Second order differential equation check.

2014年9月5日 · Find the differential equation which has a general solution Hot Network Questions mkfs.ext4 to loop: 128-byte inodes cannot handle dates beyond 2038 and are deprecated

2015年10月21日 · In general a second order equation of the type \begin{equation*} \partial _{t}^{2}x(t)+a\partial _{t}x(t)+bx(t)=f(t) \end{equation*} can be handled by rewriting it as ...

In a differential equations class the professor stated that the general solution of a homogeneous second-order linear ODE would be in the form: $$y = c_1y_1 + c_2y_2 ...