Publisher's Synopsis
In the book, I considered differential equations of order $1$ over Banach D-algebra: differential equation solved with respect to the derivative; exact differential equation; linear homogeneous equation.
I considered examples of differential equations in quaternion algebra. In order to study homogeneous system of linear differential equations, I considered vector space over division D-algebra,solving of linear equations over division D-algebra and the theory of eigenvalues in non commutative division D-algebra.