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<p>PROVA 2023.1</p><p>d^2y/dt + 12dy/dt + 32y</p><p>= 32u(t)</p><p>S^2y(s) + 12sy(s) +</p><p>32y(s) = 32 u(s)</p><p>32/(s^2 + 12s + 32) =</p><p>y(s)/u(s)</p><p>F(t) = (R1/s+a) +</p><p>(R2/s+b)</p><p>a=-4</p><p>b=-8</p><p>32 *(s+(-4))/(s+(-4)) *</p><p>(s+b) | s=4</p><p>32/4+-8 = 32/-4</p><p>r1= -8</p><p>r2= 32*(s+(-8))/s+(-8) *</p><p>s+a)| s=8</p><p>r2= 32/8-4</p><p>r2=8</p><p>L^-1 ((-8)/s+(-4)) - L^-1</p><p>((8/s+(-8))</p><p>f(t) = -8e^4t - 8e^8t</p><p>e^-t - t^2*e^-t + sente^-t</p><p>= f(t)</p><p>f(t) = (1/s+1) - (2!/s+1</p><p>*3) + (1/(s+1)^2+1)</p><p>OUTRA PROVA 1</p><p>MAIS OUTRA PROVA</p><p>1 ULTIMA QUESTÃO</p>