Adifferential equation is given. classify it as an ordinary differential equation (ode) or a partial differential equation (pde), give the order, and indicate the independent and dependent variables. if the equation is an ordinary differential equation, indicate whether the equation is linear or nonlinear.

5 (d^2x/dt^2) + 4 (dx/dt) + 9x = 2 cos 3t

the equation is a partial differential equation(PDE) because it contains unknown multi variables and their derivatives. This is a PDE of order 2.

The independent variable is x while the dependent variable is t.

The PDE is Linear.

Step-by-step explanation:

Partial Differential Equation (PDE): This is a differential equation that contains multi variables and their derivatives.

Ordinary Differential Equation (ODE): this is a differential equation containing a function of one independent variable and its derivatives.

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation: