Search & Filtering
eliminate the arbitrary constant using any method
13.x^2y^3\:+\:x^3y^5\:=\:C
eliminate the arbitrary constant using any method
12.y\:=\:3Ax^3\:+\:2Bx^2\:+\:4Cx\:−\:D
determine the values of r for which the given differential equation has solutions of the form y = e^rt
11.y′′′\:−\:3y′′\:+\:2y′\:=\:0
determine the values of r for which the given differential equation has solutions of the form y = e^rt
10.y′′\:+\:y′\:−\:6y\:=\:0
verify that each given function is a solution of the
differential equation.
9.t^2y′′\:+\:5ty′\:+\:4y\:=\:0;\:y\left(t\right)\:=\:t^{−2}
verify that each given function is a solution of the
differential equation.
8.y′′′′\:+\:4y′′′\:+\:3y\:=\:t;\:y\left(t\right)\:=\frac{t}{3}
verify that each given function is a solution of the
differential equation.
7.ty′\:−\:y\:=\:t^2;\:y\:=\:3t\:+\:t^2
verify that each given function is a solution of the
differential equation.
6.′′\:+\:2y′\:−\:3y\:=\:0;\:y\left(t\right)\:=\:e^{−3t}
verify that each given function is a solution of the
differential equation.
5.y′′\:−\:y\:=\:0;\:y\left(t\right)\:=\:e^t
determine the order and the degree of the given
differential equation; also state whether the equation is linear or nonlinear.
4.\frac{d^2y}{dt^2}+sin\left(t+y\right)=sin\:t
