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Differential Equations

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#1📘 1001 Math RojasEasy
Determine the order and degree of the differential equation \(2x\frac{d^4y}{dx^4}+5x^2(\frac{dy}{dx})^3-xy=0\)
AFourth order, first degree
BThird order, first degree
CFirst order, fourth degree
DFirst order, third degree
#2📘 1001 Math RojasEasy
Which of the following equations is an exact DE?
A\((x^2+1)dx-xy\,dy=0\)
B\(x\,dy+(3x-2y)dx=0\)
C\(2xy\,dx+(2+x^2)dy=0\)
D\(x^2y\,dy-y\,dx=0\)
#3📘 1001 Math RojasEasy
Which of the following equations is a variable separable DE?
A\((x+x^2y)dy=(2x+xy^2)dx\)
B\((x+y)dx-2y\,dy=0\)
C\(2y\,dx=(x^2+1)dy\)
D\(y^2dx+(2x-3y)dy=0\)

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