1,272 Answered Questions for the topic differential equations

Differential Equations

01/22/22

what are two equations that would have a solution of (3,6)?
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Differential Equations Calculus Linear Algebra De

01/18/22

general solution of high DE using reduction of order
find the general solution of the DE ..... y1 = x1/24x2y''+y=24x1/2ln(x)I reduced the DE to first linear by letting w = u'w' +1/x w = 6ln(x) / x2found u to be ln3(x)+ln(x)c1+c2my general solution... more
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Differential Equations Calculus Linear Algebra De

01/15/22

general solution of high DE "variation of parameters"
find the general solution of the non-homogeneous DE:x2y'' -3xy'+4y=x2, x>0I first solved the associated homogen. equation using cauchy euler method and found y1 and y2 to bey1=x2,... more
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Differential Equations Calculus Linear Algebra De

01/15/22

GENEREAL SOLUTION OF HIGH DE "REDUCTION ORDER"
find the general solution of the DE given that y1 = exxy'' +(3-2x)y'+(x-3)y=0I want to make sure of my answer. my answer is:y=ex(-C1x-2/2 +C2)please let me know if my solution is correct
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Differential Equations Calculus Linear Algebra De

01/15/22

GENEREAL SOLUTION OF HIGH DE "REDUCTION ORDER"
find the general solution of the DE given that y1 = exxy'' +(3-2x)y'+(x-3)y=0I want to make sure of my answer. my answer is:y=ex(-C1x-2/2 +C2)please let me know if my solution is correct
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Differential Equations

01/06/22

dy/dx if y=3x(x-2)^3
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Differential Equations

12/30/21

DIFFERENTIAL EQUATIONS

Shortly after the last elections in Utopia Chisambama (Chisa) announced that he had won the election. This spread like a wildfire to all the 3 million people who voted for him. Just 2 days after... more
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Differential Equations Calculus De

12/29/21

solve the following DE
∫0x y(t)dt= -x/y(x)*difinite integral from 0 to x
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Differential Equations

12/28/21

Determine if x0 = 0 is an ordinary or a singular point. If it is a singular point, determine if it is a regular or an irregular singular point.
(2 + x) y'' + (1 + x) y' + 3y = 0
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Differential Equations

12/27/21

Diffrencial equation( Non-Exact)
(1+ cos(x))y' = (sin²(x)+sin²(x) cos(x)- ysin(x))
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Differential Equations

12/22/21

DIFFERENTIAL EQUATIONS

A hot cup of coffee at 90°C is placed on a table in the kitchen where the room temperature is 20°C. Using Newton's law of cooling, find at what rate the temperature of the coffee was decreasing... more
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Differential Equations

12/22/21

Differential Equations - Newton's law of cooling
A hot cup of coffee at 90°C is placed on a table in the kitchen where the room temperature is 20°C. Using Newton's law of cooling, find at what rate the temperature of the coffee was decreasing... more
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Differential Equations Math Elementary Education Calculus

12/18/21

How to deal with getting an F From a professor

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Differential Equations Variation Of Parameters Wronskian

12/18/21

Compute wronskian and variation of parameters for
The differential equation y′′ + b(x)y′ + c(x)y  =  0, x  >  0, has a fundamental solution set {x, xe^(3x)}(a) Compute the Wronskian.(b) Use variation of parameters to compute a particular... more
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Differential Equations Calculus

12/14/21

Logistic growth (with carrying capacity) differential equation (which version?)
Hello,I've come across two versions of the logistic growth differential equation with carrying capacity and they don't seem to be equivalent.The version I've seen most often (including on Khan... more
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Differential Equations Math Calculus

12/05/21

Differential Equation. How can I get the values of L and C? I don´t know how to
consider an LC system with a source of potential difference E(t) = E0cos(ωt)The equation for the voltage V = Vc across the capacitor isLC (d2V ⁄ dt2 )+ V = E0cos(ωt)Given the frequency ω, find the... more
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Differential Equations Calculus

12/04/21

Solve y''+y=[sec(x)sec(x)]
Solve. y'' + y = [sec(x)sec(x)]
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Differential Equations Calculus Integral Calculus

12/04/21

solve the given DE
xy*y' =x2+y2*its a homogenus DE with degree zero
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Differential Equations Calculus

12/04/21

Solve y''-2y'+5y=(x^2)+1
Solve. y'' - 2y' + 5y = (x^2) + 1
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Differential Equations Calculus

12/04/21

find the general solution of the following Bernoulli equation, dx⁄dt =αx^2/3−βx α, β ≠0
find the general solution of the following Bernoulli equation, dx⁄dt =αx^2/3−βxα, β ≠0
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Differential Equations Calculus

12/03/21

Solve y''-4y'+4y=3e^2t
Solve. y'' - 4y' + 4y = 3e^2t
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Differential Equations Calculus

12/03/21

Solve initial value problem...
solve initial value problem y''-2y'+2y=0, y(0)=2, y'(0)=0
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Differential Equations Calculus

12/02/21

Homogeneous Differencial Equation
[x-yarctan(y/x)]dx + [xarctan(y/x)]dy= 0
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Differential Equations

11/30/21

Finding the stationary points & stability of differential equations

For the following system of differential equations, find two stationary points and determine the stability of one of them (your choice).X' = XY - XY' = X - Y
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Differential Equations Calculus Mathematics

11/29/21

Differential equation
Consider x ≠ 0. Solve the differential equation2ydy/dx = 5+2x-2y² Determine the particular solution that passes through the point (0, √ 5) and the maximum range where it is defined.
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