Solve y''+ 3y' – 10y = 0, y(0) = - 6, y'(0) = y(t) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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On this educational website, we are solving a second-order linear homogeneous differential equation with initial conditions. 

**Problem Statement:**

Solve the differential equation given by:

\[ y'' + 3y' - 10y = 0 \]

**Initial Conditions:**

\[ y(0) = -6 \]
\[ y'(0) = 16 \]

**Solution Format:**

We need to find the function \( y(t) \) that satisfies the differential equation and the given initial conditions. The answer should be expressed as:

\[ y(t) = \ \_\_\_\_\_ \]
Transcribed Image Text:On this educational website, we are solving a second-order linear homogeneous differential equation with initial conditions. **Problem Statement:** Solve the differential equation given by: \[ y'' + 3y' - 10y = 0 \] **Initial Conditions:** \[ y(0) = -6 \] \[ y'(0) = 16 \] **Solution Format:** We need to find the function \( y(t) \) that satisfies the differential equation and the given initial conditions. The answer should be expressed as: \[ y(t) = \ \_\_\_\_\_ \]
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