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Theory

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Simulation

Posttest

References

Contributors

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Application to Ordinary Linear Differential Equations and Engineering Problems

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Which of the following is a differential equation

a: dy/dx+3x Explanation

Explanation

b: dy/dx+loge^y Explanation

Explanation

c: dy/dx+cos(dy/dx) Explanation

Explanation

d: x² + log y=0 Explanation

Explanation

If y=sec²x+3, then which of the following is true

a: dy/dx=-cosecx.(tanx) Explanation

Explanation

b: dy/dx=2secx+3 Explanation

Explanation

c: dy/dx=2secx.(tanx) Explanation

Explanation

d: dy/dx = 2sec²x· tanx Explanation

Explanation

If dy/dx=2x+3, then which of the following cannot be true:

a: y=2 Explanation

Explanation

b: y=x²+3x Explanation

Explanation

c: y=x²+3x+log(529) Explanation

Explanation

d: y = x² +e² Explanation

Explanation

Which of the following is true

a: d/dx operates on f(x) and on 2 Explanation

Explanation

b: d/dx operates on f(x) but not on 2 Explanation

Explanation

c: d/dx operates on 2 but not on f(x) Explanation

Explanation

d: d)d/dx does not operate on both f(x) and 2 Explanation

Explanation

What are the order and the degree of the differential equation d²y/dx²+y.(dy/dx)³=4

a: 1 and 2 Explanation

Explanation

b: 2 and 1 Explanation

Explanation

c: 1 and 3 Explanation

Explanation

d: 2 and 3 Explanation

Explanation

If y=x³, then (dy/dx)²+d²y/dx² equals

a: 9x²+6x Explanation

Explanation

b: 9x⁴+6x Explanation

Explanation

c: 3x⁴+3x Explanation

Explanation

d: 6x²+9x Explanation

Explanation

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