Find the Laplace transform of y(t) where y satisfies the initial value problem:
y'−10y=0
y(0)=14
Use s as the independent variable for the transformed function.
L(y(t))=?
y'−10y=0
y(0)=14
Use s as the independent variable for the transformed function.
L(y(t))=?
-
Apply L to both sides:
[s L(y(t)) - 14] - 10 L(y(t)) = 0.
Solve for L(y(t)):
L(y(t)) = 14/(s - 10).
I hope this helps!
[s L(y(t)) - 14] - 10 L(y(t)) = 0.
Solve for L(y(t)):
L(y(t)) = 14/(s - 10).
I hope this helps!