Mathematics

Mathematics, 30.11.2019 05:31, annacurry2019

Consider the system of differential equations dxdt=−5ydydt=−5x. convert this system to a second order differential equation in y by differentiating the second equation with respect to t and substituting for x from the first equation. solve the equation you obtained for y as a function of t; hence find x as a function of t. if we also require x(0)=1 and y(0)=3, what are x and y? x(t)= equation editorequation editor y(t)= equation editorequation editor

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Physics, 24.06.2019 01:20, audrilynn1679

I. write the differential equation as a system of first-order differential equations expressed in matrix form. ii. for each system, find the equilibrium points. iii. find the solution to the homogeneous differential equation using the eigenvalues and eigenvectors of the system matrix.

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Mathematics, 27.06.2019 21:00, jr8297811

It can be to classify a differential equation, so that we can predict the techniques that might us to find a function which solves the equation. two classifications are the order of the equation -- (what is the highest number of derivatives involved) and whether or not the equation is linear .linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. linear equations can usually be solved completely and explicitly. determine whether or not each equation is linear: 1. (1+y2)(d2y/dt2)+t(dy/dt)+y=et2. t2(d2y/dt2)+t(dy/dt)+2y=sin t3. (d3y/dt3)+t(dy/dt)+(cos2(t))y=t34. y''-y+y2=0you have 10 choices to choose for each problem: a. 1st. order linear differential equationb. 2nd. order linear differential equationc. 3rd. order linear differential equationd. 4th. order linear differential equatione. 5th. order linear differential equationf. 1st. order non-linear differential equationg. 2nd. order non-linear differential equationh. 3rd. order non-linear differential equationi. 4th. order non-linear differential equationf. 5th. order non-linear differential equation

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Mathematics, 05.07.2019 20:10, m3xl0v3

Consider the system of differential equations dxdt=−4ydydt=−4x. convert this system to a second order differential equation in y by differentiating the second equation with respect to t and substituting for x from the first equation. solve the equation you obtained for y as a function of t; hence find x as a function of t. if we also require x(0)=4 and y(0)=5, what are x and y?

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Mathematics, 02.10.2019 17:00, flyingcerberus1408

C) find the general solution to the above system of diff system of differential equations. (3 marks] d) find the particular solution to the above system ol initial conditions (0) = 2 and y(0) = 11. bove system of differential equations subject to the [2 marks] part b question 5 consider the polynomial q(x) = 4.3 +2++1. ise q(a) into its simplest real factors given that x = i is a con q(x) = 0. factors given that x = i is a complex solution of (4 marks] b) hence, compute the fol pute the following integral by resolving the integrand using the method of partial fractions. 3 - 2 j x3 + x2 +2+1 da [6 marks) question 6 a) solve the following second order differential equation, where y = y(w). y"+y+y=0 [3 marks] b) hence, solve the following second order differential equation, where y = y(x). y"+y+y= 22 - 7 [3 marks] c) hence, solve the following second order differential equation, where y = y"+y+y = 22 - 7 subject to the initial conditions y(0) = -9 and (0) = 1. (4 marks]

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Consider the system of differential equations dxdt=−5ydydt=−5x. convert this system to a second orde...

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