differential equations hw

no question description means solve the de. 1.1-3.1 hw + cw

is it linear? what is its order?

is it linear? what is its order?

is it linear? what is its order?

is it linear? what is its order?

is it linear? what is its order?

is it linear? what is its order?

is it linear? what is its order?

verify this is correct

verify this is correct

verify this is correct

find valid region

find valid region

find valid region

find valid region

find valid region

by inspection, find 2 solutions

a. all reals
b. just show
c. tan(pi/2) is und, and -2<pi/2<2
d. tan(x) is defined on (-1,1)

yes

no

determine if homogenous. if so, state degree

determine if homogenous. if so, state degree

determine if homogenous. if so, state degree

find k so the de is exact

find k so the de is exact

solve the de by verifying that mu is an integrating factor

solve. also state the interval on which the general solution is defined

solve. also state the interval on which the general solution is defined

solve. also state the interval on which the general solution is defined

solve. also state the interval on which the general solution is defined

solve. also state the interval on which the general solution is defined

solve. also state the interval on which the general solution is defined

solve. also state the interval on which the general solution is defined

solve. also state the interval on which the general solution is defined

solve. also state the interval on which the general solution is defined

solve. also state the interval on which the general solution is defined

find the orthogonal trajectory of the given family of curves

find the orthogonal trajectory of the given family of curves

find the orthogonal trajectory of the given family of curves

find the orthogonal trajectory of the given family of curves

find the orthogonal trajectory of the given family of curves

find the orthogonal trajectory of the given family of curves

dependent

determine whether the given function is linearly independent or dependent on (-inf, +inf)

dependent

show by computing the wronskian that the given function is linearly independent on the indicated interval

show by computing the wronskian that the given function is linearly independent on the indicated interval

verify that the given function form a fundamental set of solutions of the differential equation on the indicated interval. form the general solution

verify that the given function form a fundamental set of solutions of the differential equation on the indicated interval. form the general solution

verify that the given two-parameter family of functions is the general solution of the nonhomogeneous differential equation on the indicated interval

find a second solution of each differential equation. assume an appropriate interval of validity

find a second solution of each differential equation. assume an appropriate interval of validity

determine whether the given function is linearly independent or dependent on (-inf, inf)

dependent

determine whether the given function is linearly independent or dependent on (-inf, inf)

independent

show by computing the wrongkian that the given functions are linearly independent on the indicated interval

verify that the given function form a fundamental set of solutions of the differential equation on the indicated interval. form the general solution

verify that the given function form a fundamental set of solutions of the differential equation on the indicated interval. form the general solution

find a second solution of the differential equation. use reduction of order or the formula as instreucted. assume an appropriate interval of validity

find a second solution of the differential equation. use reduction of order or the formula as instreucted. assume an appropriate interval of validity

find a second solution of the differential equation. use reduction of order or the formula as instreucted. assume an appropriate interval of validity

y_2 = e^(-5x)