Differential Equations

Advanced calculus topics from Diff EQ go here.
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Laplace in Three Dimensions: ∂2u∂x2+∂2u∂y2+∂2u∂z2=0\frac{\partial^2 u}{\partial x^2} +\frac{\partial^2 u}{\partial y^2} + \frac{\partial^2 u}{\partial z^2} = 0
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2
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2K
mario99
M
M
Solve this Differential Equation: u"(x) = (lambda * (e^{-x} / x - k^2) u(x) = 0
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5
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1K
mario99
M
M
Solve this Differential Equation: (1+x^2)u"(x) + 2xu'(x) - 2u(x) = 0, u(x) = (c_1)x + (c_2)(1 + x*tan^{-1}(x))
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15
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3K
mario99
M
M
Find Green's function G(x,t;x',t') for the operator L = partial/partial-t - k*(partial^2 / partial-x^2) in the region...
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0
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665
mario99
M
C
How do I go about solving this problem? Let f(t) = |t| for -1<t<1; find periodic soln to x"+(pi)^2 x = f(t)
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7
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2K
blamocur
blamocur
C
Why is my Laplace Inverse wrong?
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2
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820
BobP
B
M
Laplace PDE that will Blow your Mind: partial^2-u/partial-x^2 + partial^2-u/partial-y^2 = 0,...
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3
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2K
mario99
M
A
How to draw phase portrait for systems? (a) dx/dt=0, dy/dt=0; (b) dx/dt=x, dy/dt=0; (c) ...
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1
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869
stapel
stapel
A
Exponential growth: ""Grain is pouring from a hopper on to a barn floor where it forms a conical pile..."
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8
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2K
khansaheb
K
J
Need help on a (hopefully!) intermediate math formula
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2
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806
Dr.Peterson
Dr.Peterson
A
First order differential equations: (1/x)(dy/dx) = 1/(1 - x^2), (x - 3)(dy/dx) = y, tan(y)(dy/dx) - 4
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6
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2K
Aminta_1900
A
S
Differentiation of a Quadratic: v_0 = V_DD - (1/V_x)[(v_1 - V_t)v_0 - (1/2)(v_0)^2]
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3
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1K
Dr.Peterson
Dr.Peterson
B
Why is this linear? d^3y/dt^3 + t * dy/dt + (cos(t))^2 * y = 4t^3
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6
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2K
Dr.Peterson
Dr.Peterson
M
Differential Equation: u'' + u = tan x
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4
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1K
mario99
M
C
Help me solve this FIRST ODER D.E QUESTIONS
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2
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877
topsquark
topsquark
P
DE for the rate at which chemicals clear from blood
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2
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939
limiTS
L
M
Schrödinger Equation
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0
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629
mario99
M
T
Slope field multiple choice: Which graphic shows dy/dx = x - ky for k > 0?
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2
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932
blamocur
blamocur
Integrate
dy/dx -5y =(-5/2) * x * y^3. Bernoulli. y^ -3 * dy/dx-5y^ -2=(-5/2) * x
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6
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2K
Integrate
Integrate
M
Stuck at Transforming a Differential Equation: x(d^x X/dx^2) + dX/dx + lambda*X = 0
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3
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1K
topsquark
topsquark
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