Define what linear first-order equation forms?

Aryan Emery

Aryan Emery

Answered question

2022-02-24

Define what linear first-order equation forms?

Answer & Explanation

Mikayla Swan

Mikayla Swan

Beginner2022-02-25Added 9 answers

Linear differential equation:
a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form
a0(x)y+a1(x)y+a2(x)y++an(x)y(n)+b(x)=0,
where a0(x),an(x) and b(x) are arbitrary differentiable functions that do not need to be linear, and y1,,y(n) are the successive derivatives of an unknown function y of the variable x.
This is an ordinary differentiable function (ODE). A linear differential equation may also be a linear partial differential equation (PDE), if the unknown function depends on several variables, and the derivatives that appear in the equation are partial derivatives.
linear first-order equation forms
dydx+Py=Q
Where P and Q are functions of x.
This is the required form.
Donald Erickson

Donald Erickson

Beginner2022-02-26Added 8 answers

Thanks!

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