What is the general solution to the ODE tx(t) = 4t−3x(t)?
x(t) = t + ct−3 .
x(t) = constant.
x(t)=−ce3t + 4t .
None of the above.
This is a nonlinear ODE.
This ODE has three equilibria 0, ±1 .
If the initial conditionas are small enough, the solution of this ODE converges
to 0.
All of the above statements are TRUE.
(1) Consider the following differential equation defined on the nonnegative real axis:
(2) Calculate the peak value and the steady state value of y that satisfies equation
(a).
Compute the least upper bound of the integral
where z is a complex variable, is its complex conjugate, and C denotes the
boundary of a triangle with vertices at the points i3, − 4 and 0, oriented in
counterclockwise direction.
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