√x'=7x + 5y y' = -2x - 2y

Q: a) What is the transfer function of a system whose input and output are related by the following…

A: (a) To find the transfer function of a system whose input and output are related by differential…

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Q: Rewrite the following 3rd order differential equation as a first order system of equations. u" + 7u"…

A: The given 3rd order differential equation is                       u'''+7u''+5u'+10u=5

Q: Don't use chat gpt It Chatgpt means downvote

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Q: O Find the general solution of the given system of equations. x-( ). 3 3 -2 -2 x':

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Q: Convert the second-order differential equation d²y Ź-y = 0 into a first-order system in terms of y…

A: Let, v=dydtThen, d2ydt2-y=0or, ddtdydt=yor, dvdt=yThus, the 1st order system is dydt=v,  dvdt=yAnd…

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A: From the direction field We have to draw the sketch and See why v=16 is terminal velocity.

Q: Solve the initial value problem for r as a vector function of t. Differential Equation: Initial…

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Q: X= [+] -3 1 X × ² = [ 2² -4 ] X X2-26-561 est

A: For the differential equation, to checkand the set is fundamental set of solution.

Q: consider the initial value problem (3,0227 y+25y=20,+7 410)=9.41(0)=0 1

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Q: a) Find the initial value problem of the system of linear differential equations: [1 -3] x'(t) = 3…

A: To Determine :-  The initial value problem of the system of linear differential equations : x'  t  =…

Q: 2. Consider a system of equations that represents a forced pendulum. a) Find the solution for the…

A: As per the question, we aim to numerically solve and analyze a nonlinear system of differential…