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## 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??