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Understanding Differential Equations

Is the sentence true or false?

y=5x-7 is a differential equation.

A third-degree differential equation involves the third power of which variable?

In a first-degree linear differential equation, what is the highest power of the dependent variable?

Find the degree of differential equation?

(dy/dx)2 +x4y-ex = 99

Is the sentence true or false?

 (y)3-42xy=3x+4 is a differential equation of degree 1

Is the sentence true or false?

dy/dx = -25 is a differential equation.

Find the degree of differential equation?

x2(y'')3-2xy'+11y=0

In a partial differential equation (PDE), what are the dependent variables?

Find the degree of differential equation?

(y''')7+x2(y'')4-32x+1=0

Fill in the blank:

3x-13=0.

The solution to this equation is _________