Is there an explicit ODE solution for this system?
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Let $A(t)$ and $B(t)$ be matrices with each element in $L^\infty(0,T).$ Let $A(t)$ have an inverse. I know nothing else about this inverse. Let $c(t)$ be a vector in $L^2(0,T).$ Let $u(t) \in \mathbb{R}^n$ be unknown. Does the system $$A(t)u'(t) + B(t)u + c(t)= 0$$ have a unique solution? Again, I don't know that $A(t)^{-1}$ is in $L^\infty.$
Answer:
Let $n=1$. Let $A(t)=1$, $B(t)=0$ and let $c(t)=0$ for all $t\in(0,T)$ for any $T>0$. Then $A(t)...
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Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions. y=5x-4 y=5x-5 Simplify the radical expression by rationalizing the denominator. 7(square root)100/(square root)500. a) 7/(square root)400 b) 7(square...
Answer:
(4u^3+4u^2+2)+(6u^3-2u+8) = 4u^3 +4u^2 +2 +6u^3 -2u +8 = 10u^3 +4u^2 -2u +10 (7u^+8u^2+8)+(8u^3-6u+...
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find the general solution of a 2nd order linear ODE 1.) homogeneous 2nd order linear ODE (x^2)(y'') + xy' - 9y = 0 2.) non-homogeneous 2nd order linear ODE (x^2)(y'') - xy' + y = xlnx
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Previous question posted by you was deleted. Differential equations: Solve the initial value problem...
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Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set−builder notation to write the solution set. If a system has no solution, state this. a=1+b
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-x-2y=6 x+2y=6 the system have no solution the system have a unique system (x,y)= the system has infinitely many solutions they must satisfy the following equation y= -x-2y=-4 ...show more
Answer:
-x-2y=6 x+2y=6 Let's say x is 2 -2-2y = 6 -2y =6+2 -2y= 8 y= -4 .............. x+2y=6 2+2y=6 2y= 6-...
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solution to In a CDMA cellular system one way bandwidth of the system is 30MHz.The chanel spacing is 20KHz and there are 1333 total voice chanels.The frame duration is 40msdivided among 6 time slots.The system has an individual data rate 16.2kbps in...
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Find the solution to the second order ODE with constant coefficients. First solve for the homogeneous solution, and then solve the non-homogeneous case by the method of undetermined coefficients. State the general and particular form for the given set...
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Find the complementary function by solving the auxiliary equation: y'' + 2y' + y = 0 m² + 2m +...
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Answer:
x-by=-1, x= by -1 x+ay=3, (by-1) +ay =3 by+ay= 4 y= 4/(a+b) no solution when (a+b)=0 or a=-b 2x+y-z...
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Solve the system, using substitution. Write the solution as an ordered pair. x = 2y - 2 and 3x - y = 14 no solution (0, 1) (6, 4) (4, 6) (1, 0)
Answer:
x = 2y - 2 3x - y = 14 substitute first equation into second equation: 3(2y - 2) - y = 14 distribute...
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