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MAT 269 Assignment 1 Due in Brightspace 5pm Monday 14 September 1. In the column labelled "order" in the table below, write a number indicating the order of the corresponding equation. (Eg. 1 for first order, 2 for second order, etc.) In the column labelled "independent variable", write "M" if the independent variable is missing from the corresponding equation, otherwise write the letter name of the independent variable. In the column labelled "dependent variable", write the letter name of the dependent variable (unknown function). In the column labelled "normal form", write "Y" for yes the equation is in normal form, "N" for no it isn't. In the column labelled "linear", write "L" if the equation is linear, "N" if it is nonlinear. In the final column, write "H" if the equation is homogeneous, "N" if it is nonhomogeneous, otherwise mark a diagonal slash through the box to indicate the classification does not apply. (60 points) order | independent variable | dependent variable | normal form | linear | homogeneous x^2 + 2x' = 0 dy/dx = (y + 1)/(x + 2) d^2y/dt^2 = sqrt(t) x' + 5t^2 x + sqrt(t) = 0 t x' = 4x y' + 2y^2 = 3y d^2x/dt^2 = sqrt(x) y'' - e^x = 0 y'' = x y' + 3y y'' = y' + 3t

          MAT 269 Assignment 1
Due in Brightspace
5pm Monday 14 September

1. In the column labelled "order" in the table below, write a number indicating the order of the corresponding equation. (Eg. 1 for first order, 2 for second order, etc.) In the column labelled "independent variable", write "M" if the independent variable is missing from the corresponding equation, otherwise write the letter name of the independent variable. In the column labelled "dependent variable", write the letter name of the dependent variable (unknown function). In the column labelled "normal form", write "Y" for yes the equation is in normal form, "N" for no it isn't. In the column labelled "linear", write "L" if the equation is linear, "N" if it is nonlinear. In the final column, write "H" if the equation is homogeneous, "N" if it is nonhomogeneous, otherwise mark a diagonal slash through the box to indicate the classification does not apply. (60 points)

order | independent variable | dependent variable | normal form | linear | homogeneous

x^2 + 2x' = 0

dy/dx = (y + 1)/(x + 2)

d^2y/dt^2 = sqrt(t)

x' + 5t^2 x + sqrt(t) = 0

t x' = 4x

y' + 2y^2 = 3y

d^2x/dt^2 = sqrt(x)

y'' - e^x = 0

y'' = x y' + 3y

y'' = y' + 3t

MAT 269 Assignment 1
Due in Brightspace
5pm Monday 14 September

1. In the column labelled "order" in the table below, write a number indicating the order of the corresponding equation. (Eg. 1 for first order, 2 for second order, etc.) In the column labelled "independent variable", write "M" if the independent variable is missing from the corresponding equation, otherwise write the letter name of the independent variable. In the column labelled "dependent variable", write the letter name of the dependent variable (unknown function). In the column labelled "normal form", write "Y" for yes the equation is in normal form, "N" for no it isn't. In the column labelled "linear", write "L" if the equation is linear, "N" if it is nonlinear. In the final column, write "H" if the equation is homogeneous, "N" if it is nonhomogeneous, otherwise mark a diagonal slash through the box to indicate the classification does not apply. (60 points)

order | independent variable | dependent variable | normal form | linear | homogeneous

x^2 + 2x' = 0

dy/dx = (y + 1)/(x + 2)

d^2y/dt^2 = sqrt(t)

x' + 5t^2 x + sqrt(t) = 0

t x' = 4x

y' + 2y^2 = 3y

d^2x/dt^2 = sqrt(x)

y” - e^x = 0

y” = x y' + 3y

y” = y' + 3t

Added by Andrew E.

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