Finn generell løsning til ligningeney′′ + 3 y′ + 2 y = 0a)y′′ − 2 y′ + y = cos tb)y′′ − y′ − 2 y = e2tc)y′′ + 3 y = 5 + 3t2d)y′′ + y′ − 2 y = 6te−2t + 10 sin t

Omformulér følgende andreordens differensial-ligninger til førsteordenssystem:y′′(t) − y(t) = 0a)y′′(t) − 2 y′(t) − 3 y(t) = 0b)2 y′′(t) − y′(t) = 3t sin t

y = cos⁴ t - sin⁴ t

y= 5 sin⁡x + 2 cos⁡x

Let y = xx + cos(x). Find y′.A. y′ = xxx−1 − sin(x)B. y′ = xx(ln(x) + 1)C. y′ = y(ln(x) + 1)D. y′ = xx(ln(x) + 1) − sin(x)E. y′ = y(ln(x) + 1) + sin(x)

Which of the following is a cosine equation having an amplitude of 2 and period of 6?