| Линейное дифференциальное уравнение |  |
В математике линейное дифференциальное уравнение имеет вид
{\displaystyle Ly=f}
где дифференциальный оператор L линеен, y — известная функция {\displaystyle y=y(t)}, а правая часть {\displaystyle f=f(t)} — функция от той же переменной, что и y.... Википедия
In mathematics, a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives ... Linear differential operator · System of linear differential... |
A first order homogeneous linear differential equation is one of the form y′+p(t)y=0 y ′ + p ( t ) y = 0 or equivalently y′=−p(t)y. |
To solve the linear differential equation y9 1 P(x)y − Q(x), multiply both ... EXAMPLE 3 Solve y9 1 2xy − 1. SOLUTION The given equation is in the standard form ... |
To find this general solution, we start by solving the following reduced equation, which is homogeneous: ˙x(t) + ax(t)=0. Manipulating and integrating this ... |
General solution formula of a linear differential equation ... Here, I.F. is the integrating factor and is given by: e ∫P . dx e ∫P . dx. We can interchange x ... |
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