1

##### Use the Laplace transform to find a particular solution to theIVP y"+5y=18sin(5t), y(0)=9, y'(0)=54
Use the Laplace transform to find a particular solution to the IVP y"+5y=18sin(5t), y(0)=9, y'(0)=54...
##### 1) x'=1-xy y'=x-y^3 x(0)=-0.9 y(0)=-0.9a) homogenize and solve the differential equationsystemb)linearize and determine the type of stability2) x'=x-x^2-yx y'=3y-xy-2y^2find critical points linearize the system and determine the typeand stability of Critical points
1) x'=1-xy y'=x-y^3 x(0)=-0.9 y(0)=-0.9 a) homogenize and solve the differential equation system b)linearize and determine the type of stability 2) x'=x-x^2-yx y'=3y-xy-2y^2 find critical points linearize the system and determine the type and stability of Crit...
##### Let S be the ellipsoid 3+%+ 2 =1. Verify the Divergence Theorem for S and F1729k.
Let S be the ellipsoid 3+%+ 2 =1. Verify the Divergence Theorem for S and F 1729k....