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Solve: $ye^{xy}\mathrm dx+(xe^{xy}+2y)\mathrm dy=0$

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#ordinary-differential-equations
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A Remark on One-Parameter Differmorphism Group

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#ordinary-differential-equations
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Solve: $(3xy-2ay^2)dx+(x^2-2axy)dy=0$

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#ordinary-differential-equations
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How to solve $y^{\prime\prime}=y^2-y, y^{\prime}=0$ when $y(x_0)=1, y^{\prime}(x_0)=2$ where $x_0=\sqrt{2}$

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#ordinary-differential-equations #substitution #cauchy-problem
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Find the integrating factor of $(x^2y-2xy^2)\,dx+(x^3-3x^2y)\,dy=0$

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#ordinary-differential-equations #integrating-factor
181
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Exercise: A first-order linear differential equation with $x^x$

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#ordinary-differential-equations
301
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Kernel of Hankel Transform

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#calculus #ordinary-differential-equations #partial-differential-equations #special-functions #integral-transforms
601
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Solving an ODE system with two dependent variables

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#integration #ordinary-differential-equations #derivatives
40
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Find and Verify the General Solution to an ODE Using Variation of Parameters

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#ordinary-differential-equations
3.6k
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Find the differential equation of all straight lines in a plane including the case when lines are non-horizontal/vertical

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#integration #ordinary-differential-equations #analysis #differential-geometry
257
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Simplifying a differential equation.

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#ordinary-differential-equations #boundary-value-problem
63
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How to solve $\left| \dfrac{dy}{dx}\right|+|y|=0$, $y(0)=1$?

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#ordinary-differential-equations #problem-solving
2.4k
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Difference between direction field and vector field

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#ordinary-differential-equations #differential-geometry
108
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Fraction of differential equation solutions

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#ordinary-differential-equations #dynamical-systems
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Solving $y'''+3y''+3y'+y = e^{x} -x-1$

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#ordinary-differential-equations

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