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E-2.doc
PDE Utt = Uxx+sin(3(x) 0
BC’s U(0,t)=0
U(1,t)= 0
IC’s U(x,0)= 2sin(2(x)
Ut(x,0)= 0
This provides an example of solving a partial differential equation.
Differential Equations. - 1) consider the equation (non-homogenous):
Please see attachment for equation.
• find its general solution
• find the particular solution of this equation, satisfying the initial condi ...
Differential Equations : Uniqueness Theorem and Initial Conditions - Using uniqueness theorem, what can you conclude about the solution to the equation with the given inital conditions?
dy/dt = f(y)
y1(t) = 4 for all t is a solution
y2(t) = 2 for all t is a solu ...
Particular Solution to a Differential Equation - Find the particular solution of the differential equation subject to the given conditions. See attached file for full problem description.
Solving a differential equation with initial condition. - A relation between a function f(x) and its derivative f'(x) = x√f(x) is given with an initial condition on f(x) as f(4)=16. One needs to find the value of the second derivative of the function ...