1 / 10
00
Is the sentence true or false?
d4ydx4=4x+2\frac{d^4y}{dx^4}=4x+2dx4d4y=4x+2
is a first-order differential equation
True
False
What is the order of a differential equation?
The highest power of the derivative in the equation
The number of terms in the equation
The degree of the dependent variable in the equation
What is the order of a differential equation with the form
99d2ydx2+76dydx−y=0\frac{99d^2y}{dx^2}+\frac{76dy}{dx}-y=0dx299d2y+dx76dy−y=0 ?
first-order
second-order
third-order
Fill in the blank:
The differential equation exy+d3ydx3+d2ydx2=exe^xy+\frac{d^3y}{dx^3}+\frac{d^2y}{dx^2}=e^xexy+dx3d3y+dx2d2y=ex ,is of _________order
First
second
third
What is the order of a differential equation with the form15d3ydx3−76dydx+52y=0?\frac{15d^3y}{dx^3}-\frac{76dy}{dx}+52y=0?dx315d3y−dx76dy+52y=0?
The differential equation dy/dx +12y=13 is a _________order differential equation
first
Second
What is the order of a differential equation with the form 5d2ydx2−9d2ydx2+6dydx+2y=05\frac{d^2y}{dx^2}-\frac{9d^2y}{dx^2}+\frac{6dy}{dx}+2y=05dx2d2y−dx29d2y+dx6dy+2y=0 ?
d3ydx3+rd2ydx2+pdydx+qy=0\frac{d^3y}{dx^3}+r\frac{d^2y}{dx^2}+\frac{pdy}{dx}+qy=0dx3d3y+rdx2d2y+dxpdy+qy=0
What is the order of a differential equation with the form d2ydx2=4x+2\frac{d^2y}{dx^2}=4x+2dx2d2y=4x+2 ?
What is the order of a differential equation with the form d2ydx2+pdydx+qy=0\frac{d^2y}{dx^2}+\frac{pdy}{dx}+qy=0dx2d2y+dxpdy+qy=0 ?
It is done.