Question

The differential equation \frac{d^2y}{dx^2} - 14\frac{dy}{dx} + 85y = 0 has auxiliary equation with roots Therefore there are two fundamental solutions Use these to solve the IVP \frac{d^2y}{dx^2} - 14\frac{dy}{dx} + 85y = 0 y(0) = -2 y'(0) = 3 y(x) =

          The differential equation \frac{d^2y}{dx^2} - 14\frac{dy}{dx} + 85y = 0 has auxiliary equation
with roots
Therefore there are two fundamental solutions
Use these to solve the IVP
\frac{d^2y}{dx^2} - 14\frac{dy}{dx} + 85y = 0
y(0) = -2
y'(0) = 3
y(x) =

Show more…

The differential equation (d^2y)/(dx^2) - 14(dy)/(dx) + 85y = 0 has auxiliary equation
with roots
Therefore there are two fundamental solutions
Use these to solve the IVP
(d^2y)/(dx^2) - 14(dy)/(dx) + 85y = 0
y(0) = -2
y'(0) = 3
y(x) =

Added by Barbara B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/23/2023

Step 1

The characteristic equation for the given differential equation is: r^2 + 13 = 0 Show more…

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= 0 with roots Therefore there are two fundamental solutions Use these to solve the IVP 13 dx2 dx y(0)=-2 y(0) = 3 y(x)

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