1,280 Answered Questions for the topic differential equations

Differential Equations Calculus

08/04/21

Need some quick help on a homework problem
Hey,Need some quick help with a homework problem. I found the derivative for part a but I'm not sure how to do part b. The cost for a company to produce x pairs of jeans is given by... more
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Differential Equations Calculus

08/03/21

Need some quick help on a homework problem
Hey,Just need some help on a homework problem that I can't seem to figure out.The volume of a growing cell is given by V(r) = 4/3 pi r^3 where the radius of the cell increases by 1 to 2... more
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Differential Equations Math Calculus Derivatives

07/30/21

Find the rate of change of the volume for each of the radii given below if dr/dt is 5 inches per min and h=12r
The formula for the volume of a cone is given below. Find the rate of change of the volume for each of the radii given below if dr/dt is 5 inches per minute and h = 12r.V = (1/3)𝜋r2h(a) r = 8 inV'=... more
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Differential Equations Business Calculus Precalculus

07/28/21

Quantitative techniques

a) A manufacturing firm finds that the daily costs of producing x units of a product is given by:𝒄 = 𝟎. 𝟎𝟐𝟓𝒙2+ 𝟏𝟑𝒙 + 𝟏𝟎𝟎a. If each of the units is sold for Ksh 20, determine the minimum numbers... more
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Differential Equations

07/27/21

How do I solve y''+4y'+13y=3𝛿(t-π); y(0) =3, y'(0) =3?
How do I solve y''+4y'+13y=3𝛿(t-π); y(0) =3, y'(0) =3? I am trying to solve for y(t).
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Differential Equations

07/27/21

How do I solve y''+5y'+6y=e^(-t) 𝛿(t-4); y(0) =2, y'(0) =-5 given this symbolic initial value problem?
How do I solve y''+5y'+6y=e^(-t) 𝛿(t-4); y(0) =2, y'(0) =-5 given this symbolic initial value problem? I am trying to solve for y(t).
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Differential Equations Calculus

07/26/21

Innocent looking , but not really

Solve y [ x3 y3 + 2x2 -y ] d x + x3 [x y3 -2 ] d y = 0 , and y(1) =1
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Differential Equations Math Calculus

07/26/21

Determine the point at which the graph of the function has a horizontal tangent line
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Differential Equations Calculus

07/25/21

A seductive equation sending her invitation in an "envelop"
Solve the differential equationx ( y' )3 − y( y' ) 2 +1 = 0
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Differential Equations Calculus

07/22/21

Need help on 2 homework problems
Hey, Need some help with two homework problems, thanks!Find dr/ds where t is a constant. Show all work. r2+2s sqrt(t) = r*tDetermine if the statement is true or false.If f is differentiable, then... more
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Differential Equations Calculus Math Help

07/19/21

Differential equation
prove that eax cos(bx) and eax sin(bx) would be linearly independent solutions of the equation d2y/dx2 − (α1 + α2)dy/dx + α1α2y = 0when α1 = a + bi and α2 = a − bi, where b≠0.
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Differential Equations Calculus Geometry Mathematics

07/19/21

Geometry mathematics
What is the largest length and breadth of a rectangle that can be kept inside a circle of diameter 80 with steps for calculation
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Differential Equations Math Calculus Derivative

07/17/21

Let f(x) = 1/(1-x). Find a cubic polynomial p(x) so that f(0) = p(0), f'(0)=p'(0), f"(0)=p"(0), f'''(0)=p'''(0)
Please show working...Consider if f were a more complicated function. How would this be more efficient to finding values of f?Thank you!!
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Differential Equations Math Calculus Math Help

07/16/21

Differential equation
2) Consider the differential equationy' − (2 + xexy) = x2(y' − xexy)(a) Find the explicit general solution.(b) Find the particular solution that passes through the point (0, e-1) and the maximal... more
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Differential Equations Math Calculus Math Help

07/16/21

Differential equation
1) Consider x ≠ 0. Solve the differential equation(y6 − 4x6)dx + 3x4y2dy = 0.Determine the particular solution that passes through the point (1, 2).
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Differential Equations Math Calculus Math Help

07/16/21

Initial Value Problem (or IVP)
Find the implicit IVP solution y'(x) = - (ex ⁄ ey+yey)y(0) = 0 What can we say about the existence of the explicit solution? If there is, can we say who it is?
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Differential Equations Calculus Maths Math Help

07/16/21

differential equation
Let y≠0 for the differential equation 2ydy ⁄dx = 5 + 2x − 2y2(a) Find the implied general solution.(b) Find the particular solution that passes through the point (0,√5) and the maximum range... more
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Differential Equations

07/15/21

An innocuous at first look differential equation...

Solve the equation( 9 x −4 y +4 ) dx − ( 2 x −y +1 ) dy = 0
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Differential Equations Calculus

07/12/21

A capricious Differential equation...
Solve the differential equation.y( x2 + y2 - 1 ) dx + x( x2 + y2 + 1 ) dy = 0
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Differential Equations Math Calculus Precalculus

06/22/21

Differential Equation
Find the particular solution to the differential equationd2y/dx2 = -3/x4given that y = 1/2 and dy/dx = −1 when x = 1.
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Differential Equations Calculus

06/17/21

Using differentials to approximate the value of an expression.

Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers to four decimal places.)(2.99)^3Using differentials... more
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Differential Equations Calculus Precalculus Computer Programming

06/11/21

Evaluate the sum using the summation formulas and properties.
12 (j3 - 3j2) j = 1= ______
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Differential Equations Calculus Precalculus Integral Calculus

06/09/21

y' + y tan x + 1 = 0
Help me answer this differential equation. Thank you.
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Differential Equations

06/09/21

Given that dy/dx = 9y² - 4 and that y = 1 when x = 2. Find an equation expressing x in term of y.

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Differential Equations Algebra 1 Algebra 2 Calculus

06/09/21

Calculus question related to vectors need help!
Part of a cross-country skier's path can be described with the vector function r = <2 + 6t + 2 cos(t), (15 − t)(1 − sin(t))> for 0 ≤ t ≤ 15 minutes, with x and y measured in meters. The... more
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