R sin theta minus cos theta Dr/d theta=r²
Answers
Step-by-step explanation:
और साइन थीटा माइनस कोस थीटा डीआरबीडी डाटा इज इक्वल टू 8 स्क्वायर
Answer:
It is possible to answer the differential equation R sin(theta) - cos(theta) Dr/d(theta) = r2 using conventional methods. The methods we can take to solve this differential equation are as follows:
Equation rewritten using differentials:
- When we rewrite the solution, we obtain: Dr/r2 = (theta(sin) d(theta) - theta(cos))
- By condensing the right half, we obtain: Dr/r2 is equal to -d/d(theta) (cos(theta)).
- ln(r) = sin(theta) + C, where C is an integration constant, is the result of integrating both parts.
R's solution:
- We obtain: r = e(sin(theta) + C) after exponentiating both sides.
- When we multiply both parts by r2, we obtain: r3 is equal to e(sin(theta) + C) × r2
- R = e(-cos(theta) Plus C) is what we get when we rearrange the equation.
Verify for accuracy:
By reintroducing our answer into the initial differential equation and confirming that it satisfies the equation, we can ensure that our solution is accurate.
Therefore, R = e(-cos(theta) Plus C, where C is an integration constant, is the answer to the differential equation R sin(theta) - cos(theta) Dr/d(theta) = r2.
Learn more about initial differential equation :
https://brainly.in/question/6864366
#SPJ2