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If $y=\mathrm{e}^x\big(a\sin x+b\cos x\big)$, then express $y^{(n)}$ in terms of $y$ and $y'$.

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#real-analysis #sequences-and-series #ordinary-differential-equations #recurrence-relations #recursion
91
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Diagonal power series is holonomic

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#ordinary-differential-equations #power-series #formal-power-series
153
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Solving $\operatorname{div}(a(\frac{.}{\epsilon}) \nabla(u_\epsilon)) = -\operatorname{div}(f)$ (partial differential equation)

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#real-analysis #functional-analysis #ordinary-differential-equations #partial-differential-equations #sobolev-spaces
62
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Given an implicitly defined equation, verify another equation

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#ordinary-differential-equations #analysis #derivatives #implicit-differentiation
42
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Any idea on form of function satisfying this differential equation, $f(x)=- \alpha f'(1-x)$ over domain $[0,1]$

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#ordinary-differential-equations #eigenvalues-eigenvectors
109
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solution of switched ordinary differential equation

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#ordinary-differential-equations
75
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Solution to integral equation involving logarithms

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#integration #ordinary-differential-equations #integral-equations
76
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Solving a differential equation using a substitution

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#calculus #ordinary-differential-equations
105
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Frobenius series problem

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#ordinary-differential-equations #power-series #frobenius-method
627
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Using bounds for an analytically intractable differential equations problem

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#ordinary-differential-equations #dynamical-systems #initial-value-problems
72
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Mass diffusion equation for the time prediction of Ostwald Ripening

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#ordinary-differential-equations #physics
84
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Find Polar Differential Equation that satisfies Bifurcation Diagram

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#ordinary-differential-equations #dynamical-systems #bifurcation
62
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Series solution of a 2nd order ODE

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#ordinary-differential-equations #frobenius-method
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What is the general solution of $xy' - 2y = -x$?

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#ordinary-differential-equations
67
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How to find general solution of a differential equation with two first-order terms?

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#ordinary-differential-equations

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