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How does the following summation give the given answer?

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#calculus #ordinary-differential-equations #summation
118
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Can modulus function present in a particular solution

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#calculus #ordinary-differential-equations #logarithms #exponential-function #absolute-value
576
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An a priori energy estimate for non-homogeneous wave equation

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#real-analysis #functional-analysis #ordinary-differential-equations #partial-differential-equations #wave-equation
104
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Lyapunov theorem (dynamical system) in linear differential equation

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#ordinary-differential-equations #dynamical-systems #mathematical-physics #stability-theory
98
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Zeros of solution of a ODE

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#ordinary-differential-equations
211
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Solve this integral equation.

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#integration #ordinary-differential-equations #integral-equations #eigenfunctions
86
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Integrating factor mistake?

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#integration #ordinary-differential-equations #integrating-factor
127
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Convert equation system in to one ODE

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#ordinary-differential-equations #systems-of-equations
273
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Energy estimates for a heat equation on a ball

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#real-analysis #functional-analysis #ordinary-differential-equations #partial-differential-equations #heat-equation
46
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Integrating of ODE

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#ordinary-differential-equations
109
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Solve $2xy+y^2-2x^2\frac{\mathrm{d}y}{\mathrm{d}x}=0$; $y=2$ when $x=1$

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#calculus #ordinary-differential-equations #logarithms #absolute-value
38
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Stability of $\dot x=p(x)x$ for $p\in C^1 (\mathbb R)$

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#ordinary-differential-equations #stability-in-odes
57
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How to solve $y'(x)+4y'(\frac{x}{2})+1=0$

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#ordinary-differential-equations
151
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Using the substitution $z=y^2$ solve the differential equation ... given that when $x=4$ and $y=-5$ in the form $y=f(x)$

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#calculus #ordinary-differential-equations #substitution
556
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Is there any systematic way for transforming differential equation into Clairaut form?

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#ordinary-differential-equations

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