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Check answer please! simple diff eq'n problem involving eulers method!

  • Thread starter nchin
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  • #1
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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??
 

Answers and Replies

  • #2
arildno
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Yup! :smile:
 
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