Differential Equation Help: Solve with Confidence

College
Calculus and Analysis
Differential Equations

Recent questions in Differential Equations

quiquenobi2v6 2022-01-20

Does ODE initial value problem produce beat or resonance phenomenon?
$x^{″} + 9 x = \sin (3 t)$
$x (0) = x^{'} (0) = 0$ .
We are allowed to solve differential equations with TI-89.

Francisca Rodden 2022-01-20

Who know?
Solve the following first order differential equations. Use any method:
$2 x^{2} d x - 3 x y^{2} d y = 0; y (1) = 0$

prsategazd 2022-01-20

Solve the first-order differential equation State which method you are using!
$x^{2} y^{2} d x - (x^{3} + 1) d y = 0$

Madeline Lott 2022-01-20

Solve the following first order differential equations:
1. $(1 + x^{2} + y^{2} + x^{2} y^{2}) d y = y^{2} d x$
2. $e^{x} y \frac{d y}{d x} = e^{- y} + e^{3 x - y}$

Francisca Rodden 2022-01-20

Solve and find the soltion to the first order differential equation:
$x \frac{d y}{d x} + y = e^{x}, x > 0$

pogonofor9z 2022-01-20

Let y be a function of x. Which of the following is a first order linear differential equation?
$1 . y^{'} - x = y^{2} \sin (x)$
$2 . y^{'} - x = y \sin (x)$
$3 . {(y^{'})}^{2} + y = \tan (2 x)$
$4 . y^{'} = y^{2} e^{x}$
$5 . {(y^{'})}^{2} + y = e^{x}$

Monique Slaughter 2022-01-20

Help!
a) Solve the first order linear differential equation $\frac{d y}{d x} + x y = x, y_{0} = - 6$ . b) Write down any two applications of first order linear differential equation.

Holly Guerrero 2022-01-20

Is the following is linear equation?
$x \frac{d y}{d x} - 4 y = x^{6} e^{x}$

tebollahb 2022-01-20

Solve the first order differential equation using any acceptable method.
$\sin (x) \frac{d y}{d x} + (\cos (x)) y = 0$ , $y (\frac{7 π}{6}) = - 2$

Arthur Pratt 2022-01-20

Solve a differential equation: $d y / d x = x^{2} y^{2} + x^{2} - y^{2} - 1$

Mary Jackson 2022-01-20

I was reading some of my notes and I was not sure how the following works:
$\frac{d^{2} y}{{d x}^{2}} + \frac{d y}{d x} = 0$
Solve the above with the condition $y (0) = 0$
$\Rightarrow y (x) = A (1 - e^{- x})$ with A an arbitrary constant.
I was just wondering how do you solve the above to get
$y (x) = A (1 - e^{- x})$ ? Because when I tried it, I got:
$y = A + B e^{- x}$ , and using the condition $y (0) = 0$ , I got $A + B = 0$ .

Carol Valentine 2022-01-20

How to solve $x^{'} (t) = \frac{x + t}{2 t - x}$ ?

Mary Buchanan 2022-01-20

Linearizing $y'' + \sin (2 x + \cos (2 y' + y)) + 1 - \sin (y + 3 y') = 0$

osteoblogda 2022-01-20

Solving ODE and finding maxima
Consider the initial value problem $y^{'} + 5 y = 5 t, y (0) = y_{0}$ . Find the value of $y_{0}$ for which the solution touches, but does not cross, the t-axis.

killjoy1990xb9 2022-01-20

Solving simple differential equation
$(t + 4) d x = 4 (1 + x^{2}) d t$

veksetz 2022-01-20

How to solve $\frac{d y}{d x} = 5 x y + \sin x$ ?
With $y (0) = 1$ . Use an integrating factor.

Pam Stokes 2022-01-20

How to find $x \frac{d y}{d x} = y + \frac{4}{x}$ ?
It's given that $x > 1, y = 1 when x = 1$ .

burkinaval1b 2022-01-20

Question about solving a differential equation
$D (D - 3) (D + 4) [y] = 0$ ,
where D is the differential operator, how to get the general solution of y? The solution suggest that it is
$y = 6 c_{1} - 2 c_{2} \exp (- 4 t) + 3_{c_{3}} \exp (3 t)$

berljivx8 2022-01-20

$y_{1}, y_{2}, y_{3}$ are particular solutions of $y^{'} + a (x) y = b (x)$ , so the function $\frac{y_{2} - y_{3}}{y_{3} - y_{1}}$ is constant.

Helen Lewis 2022-01-20

What might be a solution to the differential equation of the form
$x y = c \frac{y}{y + d}$
where $y = y (x)$ and c,d are constants? I am supposed to simply state a solution to this, but I don;t think it is all that obvious.

Speaking of differential equations, these are used not only by those students majoring in Physics because solving differential equations is also quite common in Statistics and Financial Studies. Explore the list of questions and examples of equations to get a basic idea of how it is done.

These answers below are meant to provide you with the starting points as you work with your differential equations. If you need specific help or cannot understand the rules behind the answers that are presented below, start with a simple equation and learn with the provided solutions..

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