List questions from homogeneous-equation

Published on 17 Feb 2023 - 5:19

145

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Solve $\left(3x^2y-xy\right)dx+\left(2x^3y^2+x^3y^4\right)dy=0$

Published on 19 Feb 2023 - 19:46

116

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Example of tangent cone of affine variety

Published on 26 Mar 2026 - 6:06

62

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Tangent cone of affine line at the origin

Published on 26 Mar 2026 - 6:06

70

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Solution of homogeneous differential equation stays above zero solution

Published on 06 Mar 2023 - 12:19

98

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How to integrate $xy' = \sqrt{x^2-y^2}+y$

Published on 19 Mar 2023 - 14:31

215

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Homogeneous equations for conic sections

Published on 21 Mar 2023 - 12:02

72

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Prove that the tangent line is given by $\frac{\partial F}{\partial X}(P)X+\frac{\partial F}{\partial Y}(P)Y+\frac{\partial F}{\partial Z}(P)Z=0$

Published on 19 Apr 2023 - 19:42

179

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how to caculate the step response of the second order system with nonzero initial condition, $y¨ + 2ξω_ny˙ +2y = 0, y(0) = 0, y˙(0) = c$

Published on 30 Apr 2023 - 13:36

26

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Solving linear nonhomogeneous differential equation

Published on 03 May 2023 - 8:41

86

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Solution of equation $(1 - c)[(2 - c) ^ 2 - 9] = 0$

Published on 18 May 2023 - 3:23

38

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Imposing boundary conditions on third order differential equation's solution

Published on 24 May 2023 - 13:36

116

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Solving the 1D Heat Equation on [a,b] rather than [0,L]

Published on 15 Jun 2023 - 3:54

103

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Evaluating $\int_{0}^{\infty} \frac{\mathrm{d}x}{x(I_n(x)^2 + K_n(x)^2)}$ and similar integrals.

Published on 15 Jun 2023 - 18:55

59

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Solving homogeneous differential equation $y''(x) = ky(x)$ using different approaches leads to different results

Published on 18 Jun 2023 - 19:58

List Question

Non-separable linear PDE with separable solutions

Solve $\left(3x^2y-xy\right)dx+\left(2x^3y^2+x^3y^4\right)dy=0$

Example of tangent cone of affine variety

Tangent cone of affine line at the origin

Solution of homogeneous differential equation stays above zero solution

How to integrate $xy' = \sqrt{x^2-y^2}+y$

Homogeneous equations for conic sections

Prove that the tangent line is given by $\frac{\partial F}{\partial X}(P)X+\frac{\partial F}{\partial Y}(P)Y+\frac{\partial F}{\partial Z}(P)Z=0$

how to caculate the step response of the second order system with nonzero initial condition, $y¨ + 2ξω_ny˙ +2y = 0, y(0) = 0, y˙(0) = c$

Solving linear nonhomogeneous differential equation

Solution of equation $(1 - c)[(2 - c) ^ 2 - 9] = 0$

Imposing boundary conditions on third order differential equation's solution

Solving the 1D Heat Equation on [a,b] rather than [0,L]

Evaluating $\int_{0}^{\infty} \frac{\mathrm{d}x}{x(I_n(x)^2 + K_n(x)^2)}$ and similar integrals.

Solving homogeneous differential equation $y''(x) = ky(x)$ using different approaches leads to different results

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