1,272 Answered Questions for the topic differential equations

Differential Equations

09/28/20

Diego bought some raisins and walnuts to make trail mix. trail mix.PNG Raisins cost $4 a pound and walnuts cost $8 a pound. Diego spent $15 on both ingredients.

Look at the 4 scenarios below and decide if Diego could have bought that with his $15. Explain how you figured it out.  1) 4 pounds of raisins and 2 pounds of walnuts 2) 1 pound of raisins and 1.5... more
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Differential Equations

09/28/20

Solve the given initial-value problem
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Differential Equations

09/28/20

Solve the given initial-value problem
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Differential Equations

09/28/20

Determine if the given differential equation is exact. If it is exact solve it.
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Differential Equations

09/28/20

Determine if the given differential equation is exact. If it is exact solve it.
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Differential Equations

09/28/20

Determine if the given differential equation is exact. If it is exact solve it.
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Differential Equations

09/26/20

Find the value of k so that the differential equation is exact.
(2xy2 + yex)dx + (2x2y + kex − 1)dy = 0
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Differential Equations

09/26/20

For the given differential equation, identify whether it is separable, homogeneous, or exact - justify your answer. Also, find the general solution to the given DE.
a. (1+x2+y2+x2y2)dy = y2dxb. dy/dx = (y/x)+(x2/y2)+1c. dN/dt +N = Nte1+2
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Differential Equations

09/24/20

Solve z''+4z'+4z=0. Details in Description below.
Given this differential equation: z''+4z'+4z=0, find the general solution to the equation.
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Differential Equations

09/24/20

Look at original problem statement and question in Description below.
A 2000 gallon container initially holds 1000 gallons of a brine (salt water) solution containing 40 lbs of salt. Brine containing 0.02 lbs/gal of salt flows into the container at a rate of 50... more
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Differential Equations Help With Review Test Tomorrow

09/22/20

review for test
ntsItem 8 is unpinned. Click to pin.The perimeter of a geometric figure is the sum of the lengths of its sides. If the perimeter of the following pentagon (five-sided figure) is 48 meters, find the... more
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Differential Equations Imaginary Numbers Complex Numbers

09/20/20

Complex numbers problem, solving for Z1 and Z2
If Z1,Z2 are part of C such that Im(z1) = sqrt(3), |z2| = 2 and z1*z2 = 4(cos( 5pi/6 ) + sin( 5pi/6)i ). Find the values of Z1 and Z2.I was told that i could use the property of |z1*z2| = |z1||z2|... more
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Differential Equations Trigonometry Maths Functions

09/18/20

While proving the continuity of function f(x)=sin(x) or f(x)=cos(x) why do we put sin(c+h) or cos(c+h) in place of x ? Please explain

Example: Lim f(x) = Lim [sin x] = Lim [sin (c+h)] X tends to 0
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Differential Equations

09/18/20

Cauchy-Euler Boundary Value Problem
Find the eigenvalues λn and eigenfunctions yn(x) for the given boundary-value problem:x2y’’ + xy’ + λy = 0,   y (1) = 0,   y (eπ ) = 0Any help would be greatly appreciated!
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Differential Equations Math Derivative

09/15/20

Derivative of the function
, y'=?
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Differential Equations Math

09/13/20

Inverse Laplace
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Differential Equations Math Mathematics

09/12/20

Solve the differential equations by Laplace transform
a) 𝑦′′(𝑡) + 𝑦′ (𝑡) + 3𝑦(𝑡) = 0, 𝑦(0) = 1, 𝑦′ (0) = 2b) 𝑦′′(𝑡) + 𝑦′ (𝑡) = 𝑠𝑖𝑛𝑡, 𝑦(0) = 1, 𝑦′ (0) = 2
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Differential Equations Chemistry Volume Mass

09/11/20

Stuck on a density = mass / volume equation
A chemist encounters an unknown metal. They drop the metal into a graduated cylinder containing water, and find the volume change is 3.2 mL. If the metal weighs 2.3 g, what is the density in g/mL... more
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Differential Equations

09/08/20

Eight times a number is equal to 1/3 of R408. Calculate the number
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Differential Equations

09/08/20

Differential Equation Family of Curves
Find the Differential Equation of the family of plane curves:Straight lines tangent to the circle x^2+y^2=4Straight lines tangent to a parabola y=4x^2
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Differential Equations

09/08/20

Family of curves
Find the DE of straight lines with slope twice the x-intercept
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Differential Equations

09/06/20

Eliminate the arbitrary constant
Can you fully eliminate the arbitary constant to find the differential equation of y=sin(ax+b)
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Differential Equations Integral Calculus

09/05/20

Equation Generalization
Consider y = x2Area under graph is 100.X axis is divided into 10 intervals.a) What is y(1)?b) Now we divide the x-axis into 11 intervals, what is y(11)?c) Form a general equation linking y(n) to... more
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Differential Equations Calculus Heat Transfer

09/03/20

Integrating an ODE
ODE: x(dt/dx)=C, where 𝐶 is constant, in the domain 𝑥1 ≤ 𝑥 ≤ 𝑥2, subject to boundary conditions: 𝑇(𝑥1 ) = 𝑇1 and 𝑇(𝑥2 ) = 𝑇2. Find the dimensionless temperature distribution 𝑇(𝑥)−𝑇1 𝑇2−𝑇1 . Looking... more
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Differential Equations Calculus Derivative

09/03/20

Evaluate the derivative of the function f(x) = w1 * x^3 + w2 * x - 1 on x
Where w1 is the first coefficient and w2 is the second coefficientX is the point on which to evaluate the derivative I am looking for the value of the derivative on point x
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