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How to derive the substituted Partial Differential Equation

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#ordinary-differential-equations #partial-differential-equations #partial-derivative #substitution #wave-equation
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I need help finding solution to differential equation with taylor approximation.

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#ordinary-differential-equations #taylor-expansion
136
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Existence and uniqueness of $y'=\sqrt{x-y}, \quad y(2)=2$

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#ordinary-differential-equations #initial-value-problems
135
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Invariant vector field of first integral

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#ordinary-differential-equations #dynamical-systems
79
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Existence of solution $y(x)$ with $x \in [0,\frac12]$

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#ordinary-differential-equations #initial-value-problems
273
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Find the relative maxima and minima of y by the second-derivative test

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#ordinary-differential-equations #derivatives #partial-derivative
887
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Subspace of all twice differentiable functions

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#linear-algebra #ordinary-differential-equations #vector-spaces
753
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Calculating Minimum Average Cost

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#ordinary-differential-equations
1k
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Use power series to solve the initial value problem: $(x^2-1)y”+10xy’+8y=0, y(0)=1, y’(0)=0.$

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#sequences-and-series #ordinary-differential-equations
81
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Real or complex numbers for the general solution of $y''(x)+k^2y(x)=0$?

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#ordinary-differential-equations
200
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finding a general solution of a ODE

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#ordinary-differential-equations
24
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Creating autonomous formula for nonhomogenous ODE's from nonautonomous formula for ODE's.

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#ordinary-differential-equations
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Determining if a differential equation has unique solution

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#ordinary-differential-equations #functional-equations
77
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How to solve a differential equation after integration.

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#integration #ordinary-differential-equations
34
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Simple autonomous ODE perturbed by a constant coefficient

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#real-analysis #ordinary-differential-equations

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