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Class 12 Maths Practice Test - Differential Equations Basics
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Class 12 Maths Practice Test - Differential Equations Basics
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20 Questions

1. Find the order and degree of the D.E \(\left (\frac{d^3 y}{dx^3}\right )-3\left (\frac{d^2 y}{dx^2}\right )+2\left (\frac{dy}{dx}\right )^4+y^3=0\).
2. Find the order and degree of the differential equation 7y’-3y=0.
3. Find the order of the differential equation y’-20y+2=0.
4. The degree of the differential equation is not defined if it is not polynomial.
5. Find the order of the D.E \(\frac{7d^2 y}{dx^2}-\frac{6dy}{dx}\)=1
6. Find the order and degree of the differential equation 3y”-y’-ey=0
7. Find the degree of the equation \(8\left (\frac{d^2 y}{dx^2}\right )^2+2(\frac{dy}{dx})^2+y=0\).
8. Find the order of the differential equation \(\frac{9d^2 y}{dx^2}-\frac{7dy}{dx}+y^6=0\)
9. Find the degree of the differential equation \(\frac{d^3 y}{dx^3}+y^2\)=0
10. Find the order and degree of the D.E \(\left (\frac{d^3 y}{dx^3}\right )-3\left (\frac{d^2 y}{dx^2}\right )+2\left (\frac{dy}{dx}\right )^4+y^3=0\).
11. Find the order of the differential equation –\(\left (\frac{3d^2 y}{dx^2}\right )+cos⁡(y”)=0\)
12. Find the order and degree of the differential equation (y”’)2+7(y’)2-(cos⁡x)2=0
13. Find the degree of the D.E (\(\frac{d^2 y}{dx^2}\))-3 tan⁡x=0.
14. Find the order of the differential equation \(\frac{dy}{dx}\)+15 cos⁡x=0.
15. Find the degree of the D.E y’-10y=0.
16. Find the degree of the differential equation \(3(\frac{d^2 y}{dx^2})-(\frac{dy}{dx})^2\)+sin⁡y=0.
17. Find the order of the differential equation \(\frac{9d^2 y}{dx^2}-\frac{7dy}{dx}+y^6=0\)
18. Find the order and degree of the differential equation 3y”-y’-ey=0
19. Find the degree of the differential equation \(\frac{d^3 y}{dx^3}+y^2\)=0
20. Find the degree of the D.E \(\frac{d^2 y}{dx^2}+5 cot⁡(\frac{dy}{dx})\)=0

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