Determine whether it is linear or nonlinear system: 1. y(t) = 3 + x(2t) 2. y(t)...

Determine whether it is linear or nonlinear system:

1. y(t) = 3 + x(2t)

2. y(t) = x(4t)

3. y(t) = -4t[x(2t)]

4. y(t) = e^2[x(2t)]

5. y(t) = x^5(t)

6. y(t) = cost[x(2t)]

Expert Solution

Colby Messinger answered 1 year ago

Solve the following differential equations: 1. x"(t)+ x(t)=6sin(2t) ; x(0)=3, x'(0)=1 2.y"(t)- y(t)=4cos(t) ; y(0)+0 ,...

Solve the following differential equations: 1. x"(t)+ x(t)=6sin(2t) ; x(0)=3, x'(0)=1 2.y"(t)- y(t)=4cos(t) ; y(0)+0 , y'(0)=1

y''+y=2t+1+(cos(t))^-2

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given the curve x(t)=t^2+3 and y(t)=2t^3-3t^2 find the following: a.) find the derivative of the curve...

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Velocity field for this system is: V=[X^2-(yz^1/2/t)]i-[zy^3+(x^1/3z^2/t^1/2)j+[-x^1/3t^2/z*y^1/2]k find the components of acceleration for the system.

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