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Syllabus
Follow the Step by step (Bernaulli DE):
1. Write the equation into the Bernoulli?s form.
2. Identify P, Q, and n.
3. Let v = y1-n
4. Solve for integrating factor ?
?? = ??(1-n)?P(x)dx or ??=e(1-n)?P(y)dy
5. Multiply both sides of equation by ?.
Note: The integral of the left side is always equal to v?.
General Solution: ???? = (?? ? ??) ? ??(??) ? ?? ???? +??
6. Integrate both sides of equation to get the General Solution.
7. Substitute v = y1-n to have the GS in terms of x and y.
Choose correct option?
A)
The quadratic equation has at least one real
root.
B)
The quadratic equation has at least two real
roots.
c) The quadratic equation has at most two real
roots.
Follow the Step by step (Bernaulli DE):
1. Write the equation into the Bernoulli?s form.
2. Identify P, Q, and n.
3. Let v = y1-n
4. Solve for integrating factor ?
?? = ??(1-n)?P(x)dx or ??=e(1-n)?P(y)dy
5. Multiply both sides of equation by ?.
Note: The integral of the left side is always equal to v?.
General Solution: ???? = (?? ? ??) ? ??(??) ? ?? ???? +??
6. Integrate both sides of equation to get the General Solution.
7. Substitute v = y1-n to have the GS in terms of x and y.
7 women can do a job in 8 days
How much time will 3 men and 4 women take to finish the same job?
Follow the Step by step (Bernaulli DE):
1. Write the equation into the Bernoulli?s form.
2. Identify P, Q, and n.
3. Let v = y1-n
4. Solve for integrating factor ?
?? = ??(1-n)?P(x)dx or ??=e(1-n)?P(y)dy
5. Multiply both sides of equation by ?.
Note: The integral of the left side is always equal to v?.
General Solution: ???? = (?? ? ??) ? ??(??) ? ?? ???? +??
6. Integrate both sides of equation to get the General Solution.
7. Substitute v = y1-n to have the GS in terms of x and y.
Follow the Step by step (Bernaulli DE):
1. Write the equation into the Bernoulli?s form.
2. Identify P, Q, and n.
3. Let v = y1-n
4. Solve for integrating factor ?
?? = ??(1-n)?P(x)dx or ??=e(1-n)?P(y)dy
5. Multiply both sides of equation by ?.
Note: The integral of the left side is always equal to v?.
General Solution: ???? = (?? ? ??) ? ??(??) ? ?? ???? +??
6. Integrate both sides of equation to get the General Solution.
7. Substitute v = y1-n to have the GS in terms of x and y.