This quiz focuses on solving and understanding various differential equations, exploring solutions, integrating factors, and orders of differential equations.
θ
2θ
3θ
4θ
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4
2
3/2
1/2
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Y2 =x2 -2x+2
Y =2x2 -x-1
Y =x2 -2x+2
Y2 =2x2 -x-1
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Two solutions
No solution
Infinite number of solutions
A unique solution
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3x2y+x3dy/dx
3x2y
3x2dy/dx
3x2y+x3
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2
1
3
3/2
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Both separable and linear
Separable and not linear
Linear and not separable
Neither separable nor linear
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Sin y = (x + c) cos x
Cos y = (x + c) sin x
Sec y = (x + c)
2 sin y = (x + c –sin x cos x) sec x
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X/y
1/xy
1/(x2 + y2)
1/x2
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Y= φ(x)-1+ c e-φ
Y = [φ(x)-1] e-φ + c
Y = x φ(x)-c e-φ
Y = c eφ
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Xy’=y log y
Xy’=x log x
Yy’=y log y
X+y’=y log y
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Y(7/4)
X(7/4)
Y(7/4)
Y((-7)/4)
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sec y+2 cosx=C
Sec2y-2 cosx=C
Secy-2 cosx=C
Sec2y+2 cosx=C
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1/y
y
-1/y
-y
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A e-1.5x+Bex
A e-1.5x+Bxex
A e1.5x+Bex
A e-1.5x+Bxex
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Ex2 /x
(-x)/ex2
E-x2/x
X/ex2
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Y=1/(1+cex2 )
Y=cx/(1+ex2))
Y=1/(1-cex)
Y=cx/(1+e-x2 )
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xe(y2/x)=c
Ye(y2/x)=c
Xe(x2/y)=c
Ye(x2/y)=c
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