Below are five systems of linear equations that have been put in row echelon form. Identify how many solutions each one has, and enter that number in the blank. Enter the word "infinite" (without the quotation marks) if there are infinitely many solutions.

Homogeneous systems. 2x1​−3x2​−5x3​=0x1​−2x2​−4x3​=0−3x1​+4x2​+... | Filo

SOLVED:Let (* *) be a system of homogeneous linear equations in a field K, and assume that m=n. Assume also that the column vectors of coefficients are linearly independent. Show that the only solution is the trivial solution.

a) Define homogeneous differential equation and solve:xdxdy​=y... | Filo

c. Solve the non-homogeneous differential equationy′′−2y′−3y=2... | Filo

A homogeneous differential equation of the dxdy=h(xy) can be solved by making the substitution. - | Shaalaa.com