Differential Equations

Advanced calculus topics from Diff EQ go here.
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Higher-Order Linear DE Problem!
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9
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1K
MarkFL
MarkFL
A
Steady States & Eigenvalues for dx/dt = x (1 - 2y - x) and dy/dt = y - x
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1
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1K
HallsofIvy
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S
The right way to solve y' + y = x (with y(0) = 4) ?
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6
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10K
MarkFL
MarkFL
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Partial Diff-EQ: x (partial^2 U/partial x^2) + y (partial^2 U/partial y^2) = aU
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0
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559
Dmitrij_00000
D
V
Mupad: ode::solve showing error" equation is not ordinary"
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1
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997
Denis
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K
Help with matrix differential equation y'''-3y''+3y'-y=0: repeated eigenvalues!
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1
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2K
HallsofIvy
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S
Querie on sketching direction field: y’ = (x * y) / sqrt(1 - x)
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1
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1K
MarkFL
MarkFL
K
Mathematical models and numerical methods: "A motorboat starts from rest..."
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13
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3K
ken_165
K
T
Maxwell Equations: how to obtain the two zeroes and solution
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1
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1K
topsquark
topsquark
H
Calculating using dv/dt = dh/dt * dv/dh to find dv/dh and then integrating the answer to get a line
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3
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2K
HallsofIvy
H
G
help for finding the solution to the equation (9x^(2)+y-1)dx +(4y-x)dy=0
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3
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1K
MarkFL
MarkFL
P
Consider a power series solution to differential equation y′′+(1 +x^2)y′+(1−x^2)y= 0
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2
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736
promitheus
P
C
Remove function from differential system d^2x/dt^2 + a*dx/dt = j, dj/dt = -b*j - dx/dt + u(t)
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1
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1K
HallsofIvy
H
A
Is there an analytical solution to dCs/dt = gCs(1-Cs/Csmax) - K*(X/Y + c/exp(Yt))? (nonlinear, nonexact)
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4
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1K
amcqueen101
A
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Prove y' = |y| , y(0)=0 has unique solution, though states of thm's of existence, uniqueness not true
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5
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1K
Dr.Peterson
Dr.Peterson
E
Solve y'' - y' = t - e^{-t} using variation of parameters
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0
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668
Eigendorf
E
U
Falling: If resultant force downwards follows the equation F = mg - kv^2, acceleration is a = g - (k/m)v^2
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5
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2K
UKEng20
U
E
Solve differential equation explicitly: dP/dt = 0.2P (1 - P/1000) - 48, using P_0 = 350
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2
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2K
Dr.Peterson
Dr.Peterson
P
Tricky Riccati DE w/ exponential terms: dE/dt = cB_t + bE_t + a(E_t)^2, s.t. B_t = g(1-e^{ht})/(1-ke^{ht})
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0
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619
pmms12585
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Y
What type of differential equation
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1
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1K
Deleted member 4993
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