Show that A(t)=300−250e^(0.2−0.02t) satisfies the differential equation ⅆAⅆt=6−0.02A with initial condition A(10)=50.

Expert Solution

milcah answered 2 years ago

Solve the differential equation Y’(t) = AY(t), with initial condition Y(0) = [1;0] (a 2x1 matrix);...

Solve the differential equation Y’(t) = AY(t), with initial condition Y(0) = [1;0] (a 2x1 matrix); where A = [ 9 , 5 ; -6 , -2 ]. Then, using Euler’s method with step size h=.1 over [ 0 , .5 ] fill in the table with header where the 2x1 matrix Yi is the approximation of the exact solution Y(ti) : t Yi Y(ti) ||Y(ti) – Yi ||

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1.) Let f′(x) = 3x^2 − 8x. Find a particular solution that satisfies the differential equation...

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