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?
Answers: 1
, it follows that 
. The ODE in 
has characteristic equation
, admitting the characteristic solution
:
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Consider the system of differential equations dxdt=−4ydydt=−4x. convert this system to a second orde...
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