User Manoj Kumar - Mathematics Stack Exchange

4 votes

Accepted

Check whether constant function or not.

answered Sep 17, 2019 at 4:57

3 votes

How to solve system of differential equations without using the time parameter $t$?

answered Sep 6, 2019 at 5:48

3 votes

What is the reason behind trying to find the solution of a differential equation?

answered Sep 14, 2019 at 14:02

3 votes

Prove that if the set of vectors is linearly independent, then the arbitrary subset will be linearly independent as well.

answered Sep 15, 2019 at 7:15

3 votes

Accepted

Double integral equivalent to single integral

answered Jul 26, 2019 at 6:52

3 votes

How to solve the following differential equation $(y^3-2yx^2)dx+(2xy^2-x^3)dy=0.$

answered Aug 29, 2019 at 14:33

2 votes

Accepted

Show that $\det(P(t))=\det(P_0) e^{\int_0^t \operatorname{Tr} A(s)\, ds}$

answered Sep 27, 2019 at 20:28

2 votes

Eigenvector of Matrix with Duplicate Columns

answered Oct 1, 2019 at 14:18

2 votes

m $\in \Bbb N$ so that $\lim_{m+n \to \infty} x_n = a$. Prove that $\lim_{n \to \infty} x_{n}=a$

answered Oct 4, 2019 at 18:25

2 votes

Inhomogeneous Cauchy-Euler equation: $x^2y''(x)+xy'(x)-y(x)=x$ for $x>0$

answered Jan 22, 2020 at 16:48

1 vote

Solve the 1-dimensional heat equation with separation of variables

answered Feb 8, 2022 at 10:08

1 vote

Accepted

Find $\|x\|$ when $\langle x,e_k \rangle=1/2^k$

answered Oct 15, 2019 at 19:08

1 vote

Accepted

Help understanding PDE

answered Oct 24, 2019 at 16:04

1 vote

Accepted

Gaussian LU and Crout's Method give me different answers

answered Nov 3, 2019 at 5:07

1 vote

What is the mistake in my proof of limit of a sequence?

answered Jan 15, 2020 at 18:02

1 vote

Solution of the differential equation $(x^2\sin^3y – y^2 \cos x)dx + (x^3\cos y\sin^2y–2y\sin x)dy = 0$

answered Sep 24, 2019 at 4:45

1 vote

value of complex integral $\int_C {\frac{e^{-z}}{z+1}}dz$ over the circle $|Z| = 1/2$

answered Aug 2, 2019 at 4:26

1 vote

Accepted

Existence and Uniqueness Theorem in a situation where the y-derivative is unbounded

answered Aug 27, 2019 at 14:03

1 vote

Where does the $dy$ go in the process of integration?

answered Jul 25, 2019 at 13:20

1 vote

Existence and Uniqueness of Solution of Quasilinear PDE

answered Jul 25, 2019 at 18:12

0 votes

What did I do wrong while computing this infinite series? $\sum_{k=1}^{\infty}{\frac{1}{2^k}+i\cdot \frac{1}{3^k}}$

answered Jul 22, 2019 at 17:29

0 votes

Division algorithm when $b < 0$

answered Jul 23, 2019 at 5:39

0 votes

Should the derivative of a function correspond to its differential equation?

answered Sep 1, 2019 at 12:48

0 votes

How can I prove an infinite sequence with induction

answered Sep 3, 2019 at 17:05

0 votes

Finding partial derivative of an integral, no need to use chain rule?

answered Sep 25, 2019 at 5:32

0 votes

About PDE of the form $u_{tt} - u_{xx} -u=0$

answered Sep 19, 2019 at 18:50

0 votes

Reference request for Existence of solution of Laplacian equation with Neumann boundary condition

answered Sep 20, 2019 at 15:14

0 votes

What is the area of a region bounded by the curve $y=e^x$ and the lines $y=1$ and $x=1$?

answered Sep 6, 2019 at 16:56

0 votes

Proof that $\sqrt[p]{n}$ is irrational if $n$ is not a perfect pth power

answered Sep 11, 2019 at 18:48

0 votes

Bases and Dimensions

answered Oct 21, 2019 at 14:20

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32 Answers

Check whether constant function or not.

How to solve system of differential equations without using the time parameter $t$?

What is the reason behind trying to find the solution of a differential equation?

Prove that if the set of vectors is linearly independent, then the arbitrary subset will be linearly independent as well.

Double integral equivalent to single integral

How to solve the following differential equation $(y^3-2yx^2)dx+(2xy^2-x^3)dy=0.$

Show that $\det(P(t))=\det(P_0) e^{\int_0^t \operatorname{Tr} A(s)\, ds}$

Eigenvector of Matrix with Duplicate Columns

m $\in \Bbb N$ so that $\lim_{m+n \to \infty} x_n = a$. Prove that $\lim_{n \to \infty} x_{n}=a$

Inhomogeneous Cauchy-Euler equation: $x^2y''(x)+xy'(x)-y(x)=x$ for $x>0$

Solve the 1-dimensional heat equation with separation of variables

Find $\|x\|$ when $\langle x,e_k \rangle=1/2^k$

Help understanding PDE

Gaussian LU and Crout's Method give me different answers

What is the mistake in my proof of limit of a sequence?

Solution of the differential equation $(x^2\sin^3y – y^2 \cos x)dx + (x^3\cos y\sin^2y–2y\sin x)dy = 0$

value of complex integral $\int_C {\frac{e^{-z}}{z+1}}dz$ over the circle $|Z| = 1/2$

Existence and Uniqueness Theorem in a situation where the y-derivative is unbounded

Where does the $dy$ go in the process of integration?

Existence and Uniqueness of Solution of Quasilinear PDE

What did I do wrong while computing this infinite series? $\sum_{k=1}^{\infty}{\frac{1}{2^k}+i\cdot \frac{1}{3^k}}$

Division algorithm when $b < 0$

Should the derivative of a function correspond to its differential equation?

How can I prove an infinite sequence with induction

Finding partial derivative of an integral, no need to use chain rule?

About PDE of the form $u_{tt} - u_{xx} -u=0$

Reference request for Existence of solution of Laplacian equation with Neumann boundary condition

What is the area of a region bounded by the curve $y=e^x$ and the lines $y=1$ and $x=1$?

Proof that $\sqrt[p]{n}$ is irrational if $n$ is not a perfect pth power

Bases and Dimensions