Home / Expert Answers / Calculus / 1-point-consider-the-following-initial-value-problem-y-prime-prime-6-y-prime-27-y-si-pa857

(Solved): ( 1 point) Consider the following initial value problem: \[ y^{\prime \prime}-6 y^{\prime}-27 y=\si ...




( 1 point) Consider the following initial value problem:
\[
y^{\prime \prime}-6 y^{\prime}-27 y=\sin (6 t) \quad y(0)=-2, y^{
( 1 point) Consider the following initial value problem: \[ y^{\prime \prime}-6 y^{\prime}-27 y=\sin (6 t) \quad y(0)=-2, y^{\prime}(0)=1 \] Using \( Y \) for the Laplace transform of \( y(t) \), i.e., \( Y=\mathcal{L}\{y(t)\} \), find the equation you get by taking the Laplace transform of the differential equation and solve for \[ Y(s)=\frac{6}{(s+3)(s-9)\left(s^{2}+6^{2}\right)}+\frac{13}{(s+3)(s-9)} \]


We have an Answer from Expert

View Expert Answer

Expert Answer


Given initial value problem is y??6y??27y=sin?(6t) y(0)=?2,y?(0)=1 Taking laplace transform
We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe