Question

Solve (2y-x³) dx= xdy​

Answer 1

Answer:

$❥ANSWER❥$

• y=asinx+bcosx is general solution of y"+y=0.

Answer 2

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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