Basically the problem starts with these given premises:
1. ~ (A ∨ (B⊃T))
2. (A ⋅ C) ∨ (W ⊃ ~D)
3. ~(P ∨ T) ⊃ D
4. ~P ≡ ~(T ⋅ S)
And from these premises, I must prove ∴ ~W. This is what I have done so far:
5. (~P ⊃ ~(T ⋅ S)) ⋅ (~(T ⋅ S) ⊃ ~P) B.E. 4
6. ~P ⊃ ~(T ⋅ S)...
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##M \ddot x_j = K x_{j-1} + K x_{j+1} - 2K x_j -mg \frac {x_j} {l} ## (All t-derivatives)
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##\psi(x,t) = Dcos(kx- \omega t)## for positive x
##\psi(x,t) = Dcos(kx+ \omega t)## for positive x
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##F(t) = - T D k sin(\omega t)##
and from this
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Homework Statement
Solve the following differential equations/initial value problems:
(cosx) y' + (sinx) y = sin2x
Homework Equations
I've been attempting to use the trig ID sin2x = 2sinxcosx.
I am also trying to solve this problem by using p(x)/P(x) and Q(x)
The Attempt at a Solution...
Homework Statement
Solve the following differential equations/initial value problem:
y^(4) - y'' - 2y' +2y = 0 Hint: e^-x sinx is a solution
Homework Equations
I was attempting to solve this problem by using a characteristic equation.
The Attempt at a Solution
y'''' -y'' -2y' + 2y = 0 -->...
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