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Viewed Questions

Is the function $f(x)=x^{2}-4$ one-to-one?

Is the function $f(x)=x^{2}-4$ one-to-one?

Precalculus Functions and Graphs

Polynomial and Rational Functions

Quadratic Functions and Inequalities
Verify that the piecewise-defined function $$y=\left\{\begin{aligned} -x^{2}, & x < 0 \\ x^{2}, & x \geq 0 \end{aligned}\right.$$ is a solution of the differential equation $x y^{\prime}-2 y=0$ on $(-\infty, \infty)$

Verify that the piecewise-defined function $$y=\left\{\begin{aligned} -x^{2}, & x < 0 \\ x^{2}, & x \geq 0 \end{aligned}\right.$$ is a solution of the differential equation $x y^{\prime}-2 y=0$ on $(-\infty, \infty)$

A First Course in Differential Equations with Modeling Applications

Introduction to Differential Equations

Definitions and Terminology

Questions asked

INSTANT ANSWER

In the Keynesian cross, assume that the consumption function is given by C = 200 + 0.75 (Y-T) Planned investment is 100; government purchases and taxes are both 100. a) Graph planned expenditure as a function of income (5 marks) b) What is the equilibrium level of income? (5 marks) c) If government purchases increase to 125, what is the new equilibrium income? (5 marks) d) What level of government purchases is needed to achieve an income of 1600? (5 marks)

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ANSWERED

Oluwadamilola Ameobi verified

Numerade educator

Consider an economy described by the following equations: Y = C + I + G Y = 5000 G = 1000 T = 1000 C = 250 + 0.75 (Y-T) I = 1000-50r a) In this economy compute national savings b) Find equilibrium interest rate

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ANSWERED

Sam Stansfield verified

Numerade educator

Consider the equation ut=uxx−6ux, 0<x<1, t>0, with boundary condition u(0,t)=0,u(1,t)=0, and initial condition u(x,0)=e3x(9sin(πx)+2sin(2πx)+9sin(3πx)). Solve. u(x,t)=

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INSTANT ANSWER

Consider the equation ut=uxx−4u, 0<x<1, t>0, that is, there is a lateral heat loss. Suppose further that ends are kept as u(0,t)=0,u(1,t)=6(e2−e−2). What is the steady state solution U(x), if it exists? That is, a solution after a very long time. Hint: a steady-state solution does not depend on time. U(x) =

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ANSWERED

Aishwarya Krishnakumar verified

Numerade educator

Using separation of variables, solve the differential equation, e−ycos(x)+dydxsin2(x)=0. Use C to represent the arbitrary constant. y = ?

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ANSWERED

Kaushal Nair verified

Numerade educator

Find the amplitude of 6sin2t+2cos2t.

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ANSWERED

Carson Merrill verified

Numerade educator

Is the family of functions y=e−x2∫x0et2dt+c1e−x2 a solution of the differential equation dydx+2xy=1? Assume an appropriate interval I of definition for the solution.

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ANSWERED

Sanchit Jain verified

Numerade educator

If y=e5t is a solution to the differential equation d2ydt2−12dydt+ky=0, find the value of the constant k and the general solution to this equation.

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ANSWERED

Sanchit Jain verified

Numerade educator

. dydx+24x2y=24x2

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ANSWERED

Aishwarya Krishnakumar verified

Numerade educator

Let t2y′′+13ty′+27y=0. Find all values of r such that y=tr satisfies the differential equation for t>0. If there is more than one correct answer, enter your answers as a comma separated list.

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