1,286 Answered Questions for the topic differential equations

Differential Equations Math Mathematics

09/12/20

Solve the differential equations by Laplace transform
a) š‘¦ā€²ā€²(š‘”) + š‘¦ā€² (š‘”) + 3š‘¦(š‘”) = 0, š‘¦(0) = 1, š‘¦ā€² (0) = 2b) š‘¦ā€²ā€²(š‘”) + š‘¦ā€² (š‘”) = š‘ š‘–š‘›š‘”, š‘¦(0) = 1, š‘¦ā€² (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 š¶ is constant, in the domain š‘„1 ā‰¤ š‘„ ā‰¤ š‘„2, subject to boundary conditions: š‘‡(š‘„1 ) = š‘‡1 and š‘‡(š‘„2 ) = š‘‡2. Find the dimensionless temperature distribution š‘‡(š‘„)āˆ’š‘‡1 š‘‡2āˆ’š‘‡1 . 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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Differential Equations

09/01/20

Johnny had 24 cookies. He gave Tony 6 cookies. Then, Johnny sorted his remaining cookies into 3 equal bags. Which expression represents the number of cookies in each bag?
what is the anwser to the question
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Differential Equations Calculus

08/26/20

Differential equation
Is the Different equation is an exact differential equation? Ä°f it is not exact, what should be the real numbers ā€œa and bā€ for this equation to have an integral factor of ? In this case, find the... more
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Differential Equations Math

08/26/20

solve: -13/4k - 8/3k = 7/3( -3/2k + 7/3) + 9/4(-3/2k + 3/2)
I already tried timing everything by 12, but I keep getting the wrong answer based off of my calculator. Can someone explain the steps so I can understand better?THank you!
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Differential Equations Math Calculus Linear Algebra

08/20/20

Jacobian matrix of a nonlinear system
Ā is a Jacobian matrix of a nonlinear systemĀ Ā Ā with a list of critical points.From below choices, selectĀ allĀ critical pointsĀ  that are classified as stable using the above Jacobian matrix.A.) B.)... more
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Differential Equations Math Calculus Linear Algebra

08/20/20

Can you please help with eigenvalues of matrix?
From below choices, selectĀ allĀ correct approaches for finding the eigenvalues of matrixA.) First form a new matrixĀ ,Ā  compute its determinantĀ and then find the roots of the polynomial equation:Ā The... more
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Differential Equations Math Calculus Linear Algebra

08/20/20

Linear systems that haveĀ infinite many solutions.
From below choices, selectĀ allĀ linear systems that haveĀ Ā many solutions.A.)B.) C.) D.) E.) F.)
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Differential Equations Math Calculus Linear Algebra

08/20/20

Please help with this question!
Solve the following linear, homogeneous system of ODEs:Ā Ā Ā Ā the 3 eigenvalues of the coefficient matrix are:Ā 
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Differential Equations Math Calculus Linear Algebra

08/19/20

Please help me with this question!
Use the Laplace Method to solve the following IVP:Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā ComputeĀ Ā Ā Ā Ā and its Inverse Laplace TransformĀ 
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Differential Equations Math Calculus Linear Algebra

08/19/20

Someone Please help me. Please
A super large tank was initially filled with brine solution of 20 liters.Ā  At some point, fresh water starts to flow in at a rate of 8 liters per minute, and the well mixed solution flows out at... more
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Differential Equations Math Calculus Linear Algebra

08/19/20

selectĀ allĀ 2nd order, linear, non-homogeneous ODEs with constant coefficients

From below choices, selectĀ allĀ 2nd order, linear, non-homogeneous ODEs with constant coefficients whose correct form of a particular solution is:A.) B.) C.) D.)
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Differential Equations Math Calculus Linear Algebra

08/19/20

Please help!!!!
From below choices, select theĀ correctĀ general solution for the following Separable ODE:A.) ,Ā Ā Ā is an arbitrary constant.B.),Ā Ā Ā Ā is an arbitrary constant.C.),Ā Ā Ā Ā Ā is an arbitraryĀ  constant.D.),Ā  C... more
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Differential Equations Math Calculus Linear Algebra

08/19/20

Please help with 1st-order equations

From below choices, selectĀ allĀ 1st-order equations that can be classified as an Exact ODE.A.)B.)C.) D.)
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Differential Equations Math Calculus Linear Algebra

08/19/20

Please help me with this question!
Select all 1st-order ODE(s) from below choices that are classified as a Homogeneous ODE. A.)B.)C.)D.)
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Differential Equations Inequalities

08/14/20

Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form. (2, 1), (5, 4)
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Differential Equations Math Calculus Linear Algebra

08/12/20

How do I find the the 3 eigenvalues of the following matrix ?
The 3 eigenvalues of the following matrix are theĀ same.Ā Ā Find the eigenvalues and determine the values forĀ Ā andĀ .Ā Find the eigenvectors of the eigenvalues.Ā Please show all steps.
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Differential Equations Math Calculus Linear Algebra

08/12/20

Solve the following 1st order linear homogeneous ODEs
Solve the following 1st order linear homogeneous ODEs:Ā Ā Ā Ā TheĀ  eigenvalues of the coefficient matrix are:Ā Ā  Ā Ā 
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