decide if the given statement is true or false,and give a brief justification for your answer.If true, you can quote a relevant definition or theorem. I

a2linetagadaW 2020-11-09 Answered

decide if the given statement is true or false,and give a brief justification for your answer.If true, you can quote a relevant definition or theorem. If false,provide an example,illustration,or brief explanation of why the statement is false.
Q) The system of differential equations x=ty+5(sint)y3et,y=t2x7xy1 is a first-order linear system of differential equations.

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Expert Answer

Arnold Odonnell
Answered 2020-11-10 Author has 109 answers
Step 1
Given:
The system of differential equations x=ty+5(sint)y3et,y=t2x7xy1 is a first - order linear system of differential equations.
To decide:
The given statement is true or false.
Step 2
The given statement is true.
That is, the system of differential equations x=ty+5(sint)y3et,y=t2x7xy1 is a first - order linear system of differential equations.
A linear equation or polynomial, with one or more terms, consisting of the derivatives of the dependent variable with respect to one or more independent variables is known as a linear differential equation.
The solution of the linear differential equation produces the value of the variable y.
Example:
dydx+2y=sinx
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