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Reduction of order for a third order differential equation

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Find a reduction formula for the following:

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#calculus #integration #reduction-of-order-ode
67
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Reduction of order where $y_1=(\beta \tan^2x+1)$ with $\beta \in R$

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#ordinary-differential-equations #reduction-of-order-ode
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Solve $x^2y''-xy'+y=0$ given that $y_1=x$ using reduction of order

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#calculus #ordinary-differential-equations #reduction-of-order-ode
211
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Solving a DAE (differential algebraic equation)

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#ordinary-differential-equations #numerical-methods #reduction-of-order-ode
95
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Using reduction of order to find general solution of DE

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487
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Find a solution to the differential equation: Which is NOT a constant multiple of the solution given.

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244
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Reduction of Order via Substitution

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#calculus #ordinary-differential-equations #reduction-of-order-ode
282
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Reduction of Order Leads to Non-Elementary Integral

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#calculus #integration #ordinary-differential-equations #reduction-of-order-ode
319
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Doubt on differential equation involving the complementary error function

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#ordinary-differential-equations #error-function #reduction-of-order-ode
56
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Reduced order model from time series to generate a new time series

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#time-series #reduction-of-order-ode
184
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Finding the roots of a characteristic polynomial

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#ordinary-differential-equations #reduction-of-order-ode
90
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I need some help finding a second solution to $t^2 y''-2ty=3t^2-1$ given the fact that $y_1=t^{-1}$

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#ordinary-differential-equations #reduction-of-order-ode
274
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Ignoring constant when solving Legendre equation of order 1 using reduction of order method

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#integration #ordinary-differential-equations #reduction-of-order-ode
84
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When are integration constants parameters for you to choose, and when are they simply unknowns yet fixed?

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#integration #ordinary-differential-equations #reduction-of-order-ode

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