User user577215664 - Mathematics Stack Exchange

24 votes

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Integral with constant u-substitution

answered Apr 23, 2018 at 19:14

15 votes

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Given a matrix $A$ find $A^n$.

answered Jul 29, 2018 at 12:45

14 votes

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Prove that there are no integers $x$ and $y$ such that $3x^2=13+4y^2$

answered Sep 18, 2017 at 22:38

12 votes

$\tan(z)=i$, no solution

answered Jul 9, 2018 at 20:15

8 votes

Solution to this Differential Equation $f''(x)=f(x)f'(x)$ needed

answered Sep 22, 2018 at 23:49

7 votes

A third order nonlinear ordinary differential equation.

answered Jun 25, 2018 at 15:16

7 votes

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Explanation about nonhomogeneous equations

answered Oct 13, 2017 at 20:32

7 votes

Probability of drawing exactly $1$ ace upon drawing $2$ cards from a deck

answered Dec 25, 2017 at 16:54

7 votes

How to solve $vv''+v'^2-6t^2=0$

answered Jun 5, 2020 at 5:01

6 votes

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Why integration of $\dot{x}\ddot{x}$ is equal to $4\dot{x}^2$?

answered Jun 6, 2020 at 2:24

6 votes

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Solve the ODE: $(x^{2}-2xy)y'+y^{2}-2xy=0$ solve via exact equation technique

answered Aug 29, 2020 at 18:14

6 votes

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Second order homogeneous differential equations: why do repeated roots modify the solution set?

answered Dec 22, 2020 at 22:24

6 votes

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Solve $y''-2y'+y=\frac{e^x}{x}$

answered Jan 10, 2021 at 16:24

6 votes

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$x'' + x''\cdot x^2 + x'^2 \cdot x + x - k = 0$

answered Mar 14, 2021 at 4:51

6 votes

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Non-linear second-order ODE, $y''+y^{-1}(y')^2=y^{-1}e^{-y}y'$

answered Jul 30, 2021 at 11:30

6 votes

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Why is this the result of this integral?

answered Mar 13, 2022 at 21:34

6 votes

Is it possible to solve this ODE?

answered Mar 14, 2022 at 15:21

6 votes

Where is the error in solving the following differential equation, and are there other way $\frac{dy}{dx} = \frac{9x^2-3}{y^2} - 3x^2y +y$

answered Jul 13, 2023 at 17:17

6 votes

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Solving the o.d.e. $\frac{dy}{dx}=\frac{-x+\sqrt{x^2+y^2}}{y}$

answered Aug 21, 2023 at 13:18

6 votes

Computing the sum $\sum_\limits{n=2}^\infty \left(\frac{1}{(n-1)!}-\frac{1}{n!}\right)\frac{1}{n+1}$

answered Jan 4, 2018 at 5:57

6 votes

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Solving first order differential equation with power series

answered May 27, 2018 at 5:00

5 votes

solve $y''+y'+y=\sin(x)$ with $y(0)=0$ and $y'(0)=1$ with Laplace Transformation

answered Jul 2, 2018 at 1:18

5 votes

How to solve the differential equation $xx'' = (x')^2$?

answered May 11, 2018 at 15:37

5 votes

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

answered Jan 2, 2018 at 13:10

5 votes

Evaluate $\int \frac {e^x -1}{e^x + 1} dx$

answered Jan 20, 2018 at 16:51

5 votes

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Solve the initial value problem $y′=(x+y−2)^2$?

answered Jan 31, 2018 at 1:51

5 votes

Need help with a proofs question..

answered Sep 10, 2017 at 21:40

5 votes

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solving the differential equation : $y' = \sqrt{4x+2y+1}$

answered Mar 17, 2018 at 10:16

5 votes

How exactly to use Cayley's Hamilton's theorem to find $A^{50}$ in this case? (matrix recursion equation)

answered Mar 19, 2018 at 21:17

5 votes

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What is a possible substitution to this ODE?

answered Sep 22, 2018 at 11:13

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2,083 Answers

Integral with constant u-substitution

Given a matrix $A$ find $A^n$.

Prove that there are no integers $x$ and $y$ such that $3x^2=13+4y^2$

$\tan(z)=i$, no solution

Solution to this Differential Equation $f''(x)=f(x)f'(x)$ needed

A third order nonlinear ordinary differential equation.

Explanation about nonhomogeneous equations

Probability of drawing exactly $1$ ace upon drawing $2$ cards from a deck

How to solve $vv''+v'^2-6t^2=0$

Why integration of $\dot{x}\ddot{x}$ is equal to $4\dot{x}^2$?

Solve the ODE: $(x^{2}-2xy)y'+y^{2}-2xy=0$ solve via exact equation technique

Second order homogeneous differential equations: why do repeated roots modify the solution set?

Solve $y''-2y'+y=\frac{e^x}{x}$

$x'' + x''\cdot x^2 + x'^2 \cdot x + x - k = 0$

Non-linear second-order ODE, $y''+y^{-1}(y')^2=y^{-1}e^{-y}y'$

Why is this the result of this integral?

Is it possible to solve this ODE?

Where is the error in solving the following differential equation, and are there other way $\frac{dy}{dx} = \frac{9x^2-3}{y^2} - 3x^2y +y$

Solving the o.d.e. $\frac{dy}{dx}=\frac{-x+\sqrt{x^2+y^2}}{y}$

Computing the sum $\sum_\limits{n=2}^\infty \left(\frac{1}{(n-1)!}-\frac{1}{n!}\right)\frac{1}{n+1}$

Solving first order differential equation with power series

solve $y''+y'+y=\sin(x)$ with $y(0)=0$ and $y'(0)=1$ with Laplace Transformation

How to solve the differential equation $xx'' = (x')^2$?

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

Evaluate $\int \frac {e^x -1}{e^x + 1} dx$

Solve the initial value problem $y′=(x+y−2)^2$?

Need help with a proofs question..

solving the differential equation : $y' = \sqrt{4x+2y+1}$

How exactly to use Cayley's Hamilton's theorem to find $A^{50}$ in this case? (matrix recursion equation)

What is a possible substitution to this ODE?