Question

12. [1/2 Points] DETAILS MY NOTES ZILLDIFFEQMODAP11 4.7.029. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER Solve the given initial-value problem. $xy'' + y' = x$, $y(1) = 3$, $y'(1) = -\frac{1}{5}$ y(x) = $\frac{x^2}{5} - \frac{4\ln(x)}{5} + \frac{8}{5}$ Use a graphing utility to graph the solution curve.

          12. [1/2 Points]
DETAILS
MY NOTES
ZILLDIFFEQMODAP11 4.7.029.
PREVIOUS ANSWERS
ASK YOUR TEACHER
PRACTICE ANOTHER
Solve the given initial-value problem.
$xy'' + y' = x$, $y(1) = 3$, $y'(1) = -\frac{1}{5}$
y(x) = $\frac{x^2}{5} - \frac{4\ln(x)}{5} + \frac{8}{5}$
Use a graphing utility to graph the solution curve.

12. [1/2 Points]
DETAILS
MY NOTES
ZILLDIFFEQMODAP11 4.7.029.
PREVIOUS ANSWERS
ASK YOUR TEACHER
PRACTICE ANOTHER
Solve the given initial-value problem.
xy” + y' = x, y(1) = 3, y'(1) = -(1)/(5)
y(x) = (x^2)/(5) - (4ln(x))/(5) + (8)/(5)
Use a graphing utility to graph the solution curve.

Added by Rebecca C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sam Stansfield

08/02/2023

Step 1

Step 1: Rewrite the differential equation in standard form Given differential equation: xy'' + y' = x Let's divide by x to get the equation in standard form: y'' + (1/x)y' = 1 Show more…

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ZILLDIFFEQMODAP11 4.7.029. Solve the given initial-value problem. xy''+y'=x, y(1)=3, y'(1)=-(1/5) y(x)= Use a graphing utility to graph the solution curve.