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socrates
  • Member for 9 years, 7 months
  • Last seen more than 3 years ago
7 votes
1 answer
537 views

Help solving the differential equation $y''+y'+y=0$ with initial conditions $y(0)=4,y'(0)=-3$ using Laplace transform.

5 votes
5 answers
28k views

Probability of getting at least one ace

4 votes
2 answers
2k views

Please verify my power series solution to the differential equation $y''-xy'+y=0$.

4 votes
1 answer
895 views

How to graph in hyperbolic geometry?

4 votes
1 answer
87 views

Prove the following statement about a function that is continuous

4 votes
2 answers
106 views

How to solve the homogeneous differential equation?

3 votes
2 answers
65k views

How to find the Laplace transform of $f(t)=t e^t$?

2 votes
2 answers
102 views

How many different subsets of a $10$-element set are there where the subsets have at LEAST $8$ elements?

2 votes
5 answers
392 views

How to solve this partial fraction decomposition? [closed]

2 votes
1 answer
409 views

Prove that if $P(A^c∩B)=P(A^c)P(B)$ then $P(A∩B)=P(A)P(B)$.

2 votes
0 answers
49 views

How to prove that $f(x,y) = \frac{2x^3+3y^3}{x^2y+xy^2}$ is a homogeneous function of degree $0$?

2 votes
3 answers
194 views

Show that every solution tends to zero as $x→∞$ if $a_1>0$ for $y''+a_1y'+a_2y=0$.

1 vote
1 answer
91 views

Defining an ordinary differential equation

1 vote
2 answers
79 views

Definition of linear dependence for a finite set of functions.

1 vote
2 answers
1k views

Find a differential equation for which the given function is a solution.

1 vote
1 answer
174 views

How to solve the differential equation $y' = \frac{x+y}{x-y}$?

1 vote
1 answer
62 views

Find that solution $ϕ$ which satisfies $ϕ(0) = 0, ϕ(1) = 3$ for $y'' = 3x + 1$.

1 vote
2 answers
181 views

How to prove that $f(x,y) = \frac{2x^3+3y^2}{x^2y+xy^2}$ is not homogeneous?

1 vote
2 answers
94 views

Find the solution of $y''+4y'+5y=0$ that satisfies the initial condition $ϕ(0)=1$ and $ϕ'(0)=0$.

1 vote
1 answer
636 views

How to solve this partial fraction decomposition for taking the Inverse Laplace Transform?

1 vote
2 answers
250 views

How to find the inverse Laplace transform of the following fraction?

1 vote
1 answer
173 views

How many different subsets of a $10$-element set are there where the subsets have at most $9$ elements?

0 votes
1 answer
764 views

Power series solutions of the Chebyshev differential equation. [closed]

0 votes
1 answer
89 views

How many different subsets of a $10$-element set are there where the subsets have less than $9$ elements?

0 votes
4 answers
436 views

There are total of $16$ people. How many ways can you make two committees of $8$ people in each committee?

0 votes
3 answers
627 views

Show that every solution ϕ of $x^2y'+2xy = 1$ on $0<x<∞$ tends to zero as $x→∞$.

0 votes
1 answer
114 views

Show that any solution $\varphi$ of $y' + (\cos x)y = e^{-\sin(x)}$ has the property that $\varphi(\pi k) - \varphi(0) = \pi k, k \in \mathbb {Z}$

0 votes
1 answer
101 views

Show that $α - iβ$ is also a root for $y'' + a_1y' + a_2y = 0$.

0 votes
1 answer
159 views

How to solve the differential equation $y' = \frac{2xy}{x^2-y^2}$?

0 votes
0 answers
63 views

Find the power series about $x_0 = 0$ and the radius of convergence of the following function