Let

y(t)

be the solution to

y^()=3te^(-y)

satisfying

y(0)=1

.\ (a) Use Euler's-Method with time step

h=0.2

to approximate

y(0.2),y(0.4),dots,y(1.0)

.\ \\\\table[[

k

,

t_(k)

,

y_(k)

Let y(t) be the solution to y=3tey satisfying y(0)=1. (a) Use Euler's-Method with time step h=0.2 to approximate y(0.2),y(0.4),,y(1.0). (b) Use separation of variables to find y(t) exactly. y(t)= (c) Compute the error in the approximations to y(0.2),y(0.6), and y(1). y(0.2)y1=y(0.6)y3=y(1)y5= Let y(t) be the solution to y=3tey satisfying y(0)=1. (a) Use Euler's-Method with time step h=0.2 to approximate y(0.2),y(0.4),,y(1.0). (b) Use separation of variables to find y(t) exactly. y(t)= (c) Compute the error in the approximations to y(0.2),y(0.6), and y(1). y(0.2)y1=y(0.6)y3=y(1)y5=