First-Order Linear Equations

Author: John J Weber III, PhD Corresponding Textbook Sections:

Expected Educational Results

Linear Equations

Investigation 04

Determine if the following ODEs are first-order linear ODEs. Explain.

  1. dydx+15y=5x, x>0

  2. dydx+1xy=2, x>0

  3. dydx+3x2y=6x2

  4. yytan(x)=1, π2<x<π2

  5. dydx+cot(x)y=xcsc(x)

Investigation 05

For each of the following ODEs, find the general solution [do not forget +C], if possible:

  1. dydx+15y=5x, x>0

  2. dydx+1xy=2, x>0

  3. dydx+3x2y=6x2

  4. yytan(x)=1, π2<x<π2

  5. dydx+cot(x)y=xcsc(x)

Investigation 06

For each of the following IVPs, find the particular solution, if possible:

  1. exdydx=20+3exy, y(1)=1

  2. xy2y=5x2, y(1)=2

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Last Modified: Wednesday, 2 September 2020 07:22 EDT