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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 with the form d2ydx2=4x+2\frac{d^2y}{dx^2}=4x+2dx2d2y=4x+2 ?
first-order
second-order
third-order
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 ?
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?
Fill in the blank:
The differential equation dy/dx +12y=13 is a _________order differential equation
first
Second
third
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 ?
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
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 ?
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?
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
It is done.