у соз=1 t у" -дув +2y =130 све у '%) =3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve initial value problem using Laplace.
The image displays a set of differential equations with initial conditions. The equations are written on lined paper. Here is the transcription:

1. Initial Conditions:
   - \( y(0) = 1 \)
   - \( y'(0) = 3 \)

2. Differential Equation:
   - \( y'' - 8y' + 20y = 13e^t \)

This content typically represents a second-order linear differential equation with constant coefficients, along with specified initial conditions. Solving such equations involves finding a particular solution and a complementary function to satisfy the initial conditions.
Transcribed Image Text:The image displays a set of differential equations with initial conditions. The equations are written on lined paper. Here is the transcription: 1. Initial Conditions: - \( y(0) = 1 \) - \( y'(0) = 3 \) 2. Differential Equation: - \( y'' - 8y' + 20y = 13e^t \) This content typically represents a second-order linear differential equation with constant coefficients, along with specified initial conditions. Solving such equations involves finding a particular solution and a complementary function to satisfy the initial conditions.
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