Classification of differential equations

Is the given differential equation linear or nonlinear?

 $\frac{dy}{dx}=\tan x+15x^2+e^x+\frac{1}{x}$  

• linear

• non linear

• not sure

2. What is the type of the function?

 $\frac{𝑑𝑦}{dt}=\frac{3𝑡^2}{y}$  

• Linear Partial Differential Equation

• Linear Ordinary Differential Equation

• Nonlinear Partial Differential Equation

• Nonlinear Ordinary Differential Equation

 $\frac{dy}{dt}=\frac{4t}{y}$  

Given that  $y\left(0\right)=1$ .Thus, the equation is

• an initial value problem

• a boundary value problem

 $\frac{dy}{dx}=\frac{x+1}{y+2}$  

Is the equation homogeneous or nonhomogeneous?

• Homogeneous

• Nonhomogeneous

• Not sure

• TRUE

• FALSE

• NOT SURE

 $\left(\frac{d^2u}{dt^2}\right)^2+\left(\frac{du}{dt}\right)^3+u=t$   

State the order and degree of the following function

• Second order, second degree

• Second order, third degree

• First order, second degree

• First order, third degree

Tags

CCSS.HSA-REI.B.4B

 $\frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}=2xy$  

Tick the right boxes.

• Linear

• Nonlinear

• PDE

• ODE

 $\frac{dy}{dt}+y=e^t$  .
Determine whether the equation is linear or nonlinear.

• Linear

• Nonlinear

• Not sure

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

 $\frac{\partial^2f}{\partial x^2}+\frac{\partial^2f}{\partial y^2}=0$  

The solution to the differential equation is

•  $f\left(x,t\right)$  

•  $f\left(x,y\right)$  

•  $y\left(f,x\right)$  

•  $x=f\left(y,t\right)$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2