Solution Found!
In 1–14, solve the given initial value problem
Chapter 7, Problem 8E(choose chapter or problem)
In Problems 1–14, solve the given initial value problem using the method of Laplace transforms.
\(y^{\prime \prime}+4 y=4 y^{2}-4 t+10\);
\(y(0)=0, y^{\prime}(0)=3\)
Equation transcription:
Text transcription:
y^{prime prime}+4 y=4 y^{2}-4 t+10
y(0)=0, y^{prime}(0)=3
Questions & Answers
QUESTION:
In Problems 1–14, solve the given initial value problem using the method of Laplace transforms.
\(y^{\prime \prime}+4 y=4 y^{2}-4 t+10\);
\(y(0)=0, y^{\prime}(0)=3\)
Equation transcription:
Text transcription:
y^{prime prime}+4 y=4 y^{2}-4 t+10
y(0)=0, y^{prime}(0)=3
ANSWER:Solution. Our aim is to find the general solution z( t ) by using Laplace differential operator for the given boundary value problem
...................................... (1)
Step 1. To solve this type of differential equation by using Laplace differential operator we use the following references
Reference 1. We consider
Reference 2.
Reference 3.