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Class 12 Maths Practice Test - Methods of Solving First Order and Degree Differential Equations
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Avg score: 69% • Most missed: “Find the general solution of the differential equation \(\frac{dy}{dx}=5x^2+2\).”
Class 12 Maths Practice Test - Methods of Solving First Order and Degree Differential Equations
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10 Questions

1. Find the general solution of the differential equation \(\frac{dy}{dx}=5x^2+2\).
2. Find the general solution of the differential solution \(\frac{dy}{dx}=2-x+x^3\).
3. Find the general solution of the differential equation \(\frac{dy}{dx}=\frac{y-3}{x-3}\) (x, y≠3).
4. Find the particular solution of the differential equation \(\frac{dy}{dx}\)+2x=5 given that y=5, when x=1.
5. Find the particular solution of the differential equation \(\frac{dy}{dx}=\frac{9y \,log⁡x}{5x \,log⁡y}\).
6. Find the particular solution for the differential equation \(\frac{dy}{dx}=\frac{3x^2}{7y}\) given that, y=1 when x=1.
7. Find the general solution of the differential equation \(\frac{dy}{dx}=\frac{2+x^3}{4-y^3}\).
8. Find the general solution of the differential equation \(\frac{dy}{dx}=\frac{3 \,sec\,⁡y}{2 \,cosec⁡\,x}\).
9. Find the general solution of the differential equation \(\frac{dy}{dx}=3e^x+2\)
10. Find the particular solution of the differential equation \(\frac{dy}{dx}+8x=16x^2+4\) given that y=\(\frac{1}{3}\) when x=1.

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