Solve (2y-x³) dx= xdy
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Answered by
1
Answer:
- y=asinx+bcosx is general solution of y"+y=0.
Answered by
0
Answer:
The answer of this question y = -x³/4 + c/x
Step-by-step explanation:
- (2y - x³) dx = xdy
- 2ydx - x³dx = xdy
- 2ydx - xdy = x³dx
- -/d(xy) = /d(x³dx)
- -xy = x⁴/4 + c
- y = -x³/4 +c/4
Therefore The value of y = y = -x³/4 +c/4
Definition of integration:-
Integration is opposite to the differentiation.
It's two types of integration: indefinite and definite integration.
If any functions f is differentiable in any interval (I) So, it's derivative f ' exists at each point of I
The functions that could possibly have given functions as a derivative are called anti derivatives
Ex- d/dx(tanx) = sec²x
d/dx(x²/2) = x²
d/dx (e^x) = e^x
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