Question

Solve the separable differential equation $y'(x) = \sqrt{-2y(x) + 31}$, and find the particular solution satisfying the initial condition $y(4) = 3$. $y(x) = \frac{1}{2}x^2 + \frac{93}{2}$

          Solve the separable differential equation
$y'(x) = \sqrt{-2y(x) + 31}$,
and find the particular solution satisfying the initial condition
$y(4) = 3$.
$y(x) = \frac{1}{2}x^2 + \frac{93}{2}$

Solve the separable differential equation
y'(x) = √(-2y(x) + 31),
and find the particular solution satisfying the initial condition
y(4) = 3.
y(x) = (1)/(2)x^2 + (93)/(2)

Added by Gloria R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Lucas Finney

04/13/2022

Step 1

The given differential equation is y' = -2y + 31. We can rewrite it as dy/dx = -2y + 31. Show more…

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