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1
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$y=A e^x+B e^{-2 x}$$ satisfies which of the following differential equations?

A
$$\frac{d^2 y}{d x^2}-\frac{d y}{d x}+2 y=0$$
B
$$\frac{d^2 y}{d x^2}-2 \frac{d y}{d x}-y=0$$
C
$$\frac{d^2 y}{d x^2}-2 \frac{d y}{d x}+y=0$$
D
$$\frac{d^2 y}{d x^2}+\frac{d y}{d x}-2 y=0$$
2
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The solution of the differential equation $$2x\left(\frac{dy}{dx}\right)-y=4$$ represents a family of

A
ellipse
B
parabola
C
straight line
D
circle
3
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The solution of the differential equation $$\frac{d^2 y}{d x^2}+y=0$$ is

A
$$y=3 \sin x+4 \cos x$$
B
$$y=x^2$$
C
$$y=x+2$$
D
$$y=\log x$$
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