1,286 Answered Questions for the topic differential equations

Differential Equations Math Calculus Linear Algebra

08/12/20

Find all  critical point(s) of the following system
Find all  critical point(s) of the following system: Here    are constants.   Find the general expression of its Jacobian matrix and simplify its each entry as much as possible. Determine a pair of... more
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Differential Equations Math Calculus Linear Algebra

08/12/20

Please help me with this question
  is a square matrix. Select all statement(s) from below choices that are NOT correct.a.) If  then has only one solution for any b.) If  is an eigenvalue of  then we can always find two different... more
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Differential Equations Bernoulli

08/10/20

Solving this differential equation IVP
I'm not sure how to approach this problem. Please help with this.dy/dx +y = xy^2 - 1/x^2The 1/x^2 is really throwing me off.
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Differential Equations Math Proofs Analysis

08/10/20

Show that the solutions of the differential equation dy /dx = f (y) are monotonic functions.
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Differential Equations Math Physics

08/10/20

A forensic doctor, on a cool morning (15 ° C), arrives at the scene of a accident and sees that the temperature of a corpse is 25◦C. Establish the approximate time of the victim's death.

Suggestion;make the assumptions you consider necessary but justify them
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Differential Equations Math Physics

08/10/20

In a room a cup of coffee takes 10 minutes to cool down from 60 ° C to 40 ° C. If a person is given you a cup of coffee at 70°C and wants to start drinking when it is 30° C. How minutes should wait?
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Differential Equations Math Calculus Linear Algebra

08/10/20

Someone please help with this question!
Use the method of Power Series to solve the following nonlinear ODE:Please only use Power series method.
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Differential Equations

08/07/20

Find the particular solution of the differential equation that satisfies the initial condition(s).
(a) f' (x) = 5x2, f (2) = 7(b) f'' (x) = 4, f'(-1) = 4, f (-1) = -6(c) f'' (x) = cos x, f ' (π) = 3, f (π) = -1(d) f'' (x) = ex, f '(0) = -3, f (0) = 6
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Differential Equations Math Calculus Linear Algebra

08/07/20

Please help with this question!
Use the method of Power Series to solve the following nonlinear ODE:Please only use Power series method.
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Differential Equations Math Calculus Linear Algebra

08/07/20

Please clerify this question!
Given the following 1st order linear homogeneous system: its coefficient matrix    has two repeated real eigenvalues      but only one independent eigenvector    I got an answer below but I am not... more
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Differential Equations Math Calculus Linear Algebra

08/06/20

Someone please help with this question!
x'=-x+2yy'=-2x+3yWhat is the genral solution with C1 and C2?λ1=λ2=1Eigenvector= [2][2]
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Differential Equations Math Calculus Electrical Engineering

08/06/20

Given the first order linear homogeneous system of equations
Given the first order linear homogeneous system of equationsx'(t)=-x(t)+2y(t)y'(t)=-2x(t)+3y(t)Its coefficient matrix A=[-1 2] [-2 3]has two represented real eigenvalueλ1=λ2=1 but only one... more
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Differential Equations Math Calculus Linear Algebra

08/04/20

Someone please help non-linear system!
Given the following non-linear system: find its critical points and classify the solution behavior of the non-linear system near each critical point using the linearization method.In other words,... more
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Differential Equations

08/03/20

Express T(x) in terms of the Heaviside function. Find the Laplace transform of T(x). Solve the differential equation y'' − y = T(x)
The tent function is defined by T(x) = x 0 < x < 1/2 1 − x 1/2 ≤ x ≤ 1 ... more
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Differential Equations Math Calculus Linear Algebra

08/03/20

Please help with ODE question.
Use the Eigenvalue Method to solve the following system of ODEs:  My answer was λ3 +3λ2-4=0Eigenvalues: 1, eigenvector: 1, -1, 1Eigenvalues: 2,eigenvector: -1, 1, 0
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Differential Equations Math Calculus Linear Algebra

08/03/20

Please help with ODE!!
Use the Eigenvalue Method to solve the following system of ODEs:  My answer was λ3 +3λ2-4=0Eigenvalues: 1, eigenvector: 1, -1, 1Eigenvalues: 2,eigenvector: -1, 1, 0
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Differential Equations Math Calculus Linear Algebra

08/03/20

Someone please help me with this question!!
Use the Eigenvalue Method to solve the following system of ODEs:   
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Differential Equations Calculus Derivative

08/03/20

Confused about test answer
On my test, there was a question that was ''find the average velocity for the time interval [0,3], given the displacement function of a particle moving in a straight line relative to a point O is... more
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Differential Equations Math Calculus Linear Algebra

08/03/20

Someone please help with this question!!
Use the Eigenvalue Method to solve the following system of ODEs:   
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Differential Equations Math Calculus Linear Algebra

08/03/20

Please help with this question!!!
Given the following non-linear system:   A.) its critical points are   B.) its critical points are  C.) its critical points are  D.) the system has no critical point.
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Differential Equations Math Calculus Linear Algebra

08/02/20

Solve the ODE. Please help with this question!!!
Use the Eigenvalue Method to solve the following system of ODEs:     
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Differential Equations Math Calculus Algebra

07/30/20

Please helpp!!!!
If one eigenvalue of a 2 by 2 matrix   is     and a corresponding eigenvector of   is   , then the general solution of the system ODEs:A.)is  B.) can't be determined. Solving the system requires... more
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Differential Equations Math Calculus Precalculus

07/30/20

Please help with the following question
If one eigenvalue of a 2 by 2 matrix   is     and a corresponding eigenvector of   is   , then the general solution of the system ODEs:A.)is  B.) can't be determined. Solving the system requires... more
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Differential Equations Math Calculus Linear Algebra

07/30/20

Please help me with this question.
Matrix is Not in reduced echelon form becauseA.)the last column has two non-zero elements.B.)ther than the leading 1 in the 3rd column, there is anothe non-zero element.C.)the non-zero element in... more
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Differential Equations Math Calculus Mathematics

07/30/20

Please help with Eigenvalue question
Use the Eigenvalue Method to solve the following system of ODES:{x'(t)=x(t)+2y(t){y'(t)=-x(t)+4y(t)}
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