Differential Equations

Advanced calculus topics from Diff EQ go here.
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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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926
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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2K
HallsofIvy
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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
P
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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838
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
Views
737
pmms12585
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Y
What type of differential equation
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1
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1K
Deleted member 4993
D
S
Solve 2 second order linear ODEs d^2y/dx^2 + 16(dy/dx) + 55y = 0, d^2y/dx^2 + 22(dy/dx) + 85y = 0, s.t. y(0) = 14
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12
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2K
MarkFL
MarkFL
T
Torricelli's Law Problem: ellipsoid (x/5)^2 + (y/4)^2 + (z/3)^2 = 1
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0
Views
860
Tom999
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S
stuck in basic math of general method for differential equations
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4
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1K
sabishaw
S
V
graphing 3D question: z = x - y is a sloped plane. Then is 2 = x - y a line on that plane?
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3
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2K
Dr.Peterson
Dr.Peterson
M
General Integrating Factor
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4
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4K
Metronome
M
C
PDE Separating Variables Question
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1
Views
951
Deleted member 4993
D
V
Why dot product has functions in it when it is for vectors?
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2
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2K
Vol
V
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DE Problem
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0
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1K
eloquent2
E
V
Laplace transforms: How do we know that the s-domain is complex?
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1
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2K
A_W_7
A
M
Stable Scheme
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1
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1K
pka
pka
F
planetary gear outputs
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0
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1K
fifthFunction
F
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