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y+y=1-₁ y(0) = yo What equation expresses the requirement that the solution touches the t-axis? ○ y(t) = 0 Oy" (t) = 0 ○ y(t) = 0 eTextbook and Media What additional equation expresses the requirement that the solution does not cross the t-axis? Py(t) = 0 Oy(t) = 0 Oy"(t)=0

y+y=1-₁ y(0) = yo What equation expresses the requirement that the solution touches the t-axis? ○ y(t) = 0 Oy" (t) = 0 ○ y(t) = 0 eTextbook and Media What additional equation expresses the requirement that the solution does not cross the t-axis? Py(t) = 0 Oy(t) = 0 Oy"(t)=0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the initial value problem y+y=1-₁ y(0) = yo What equation expresses the requirement that the solution touches the t-axis? ○ y(t) = 0 Oy"(t) = 0 Oy(t) = 0 eTextbook and Media What additional equation expresses the requirement that the solution does not cross the t-axis? ○y (1) = 0 ○ y(t) = 0 Oy"(t)=0
Transcribed Image Text:Consider the initial value problem y+y=1-₁ y(0) = yo What equation expresses the requirement that the solution touches the t-axis? ○ y(t) = 0 Oy"(t) = 0 Oy(t) = 0 eTextbook and Media What additional equation expresses the requirement that the solution does not cross the t-axis? ○y (1) = 0 ○ y(t) = 0 Oy"(t)=0
The equations found in (a) and (b) form a system of two equations for and yo. Show how the DE can be used to solve directly for °y + y = 0, but also 1 -/= 0,50x = 6. y+3y= = 0, but also 1-1=0,901 = 6. y+y = 0, but also t=0,501 = 5₁ °y+3y= = 0, but also 1 -1 = 0,501 = 5. eTextbook and Media Find the solution for the initial value problem with initial condition y(0) = yo (0). 205 y = + + (xo - 205) 216 216 205 5 y = ²x + you - 216 36 y= (206) + 2/¹ + (x - 2016) e * + (x - 2016) e y= 36 216 36 y = (205)-25¹ + (xo + 205) e O O O O
Transcribed Image Text:The equations found in (a) and (b) form a system of two equations for and yo. Show how the DE can be used to solve directly for °y + y = 0, but also 1 -/= 0,50x = 6. y+3y= = 0, but also 1-1=0,901 = 6. y+y = 0, but also t=0,501 = 5₁ °y+3y= = 0, but also 1 -1 = 0,501 = 5. eTextbook and Media Find the solution for the initial value problem with initial condition y(0) = yo (0). 205 y = + + (xo - 205) 216 216 205 5 y = ²x + you - 216 36 y= (206) + 2/¹ + (x - 2016) e * + (x - 2016) e y= 36 216 36 y = (205)-25¹ + (xo + 205) e O O O O
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