Finding y(1) for dy/dt = -4t+2 with y(0) = 1

[nchin]

Homework Statement

dy/dt = -4t+2
y(0) = 1
find y(1)=?

Homework Equations

The Attempt at a Solution

so first i solve the diff equation:
dy/dt = -4t + 2
dy=(-4t+2)dt
∫dy=∫(-4t+2)dt
y(t) = -2t^(2)+2t+C
y(0)=1
1=-2(0)^(2)+2(0)+C_1
1=C_1

y(t) = -2t^(2)+2t+1

now i solve for y(1)..

y(1)=-2(1)^(2)+2(1)+1
y(1)=1


is this correct??

 

[arildno]

Yup!