Tip:A–D to answerE for explanationV for videoS to reveal answer
The solution of the differential equation dxdy=−(3x2+y2x2+3y2),y(1)=0 is:
- A.
loge∣x+y∣−(x+y)2xy=0
Correct Answer: loge∣x+y∣+(x+y)22xy=0
Explanation
Solution:
Ye ek homogeneous equation hai.
y=vx rakhne par:
v+xdxdv=−3+v21+3v2⟹xdxdv=−v2+3(v+1)3
Iska integration karne aur y(1)=0 use karne par:
loge∣x+y∣+(x+y)22xy=0
Sahi Option: (2)
Explanation
Solution:
Ye ek homogeneous equation hai.
y=vx rakhne par:
v+xdxdv=−3+v21+3v2⟹xdxdv=−v2+3(v+1)3
Iska integration karne aur y(1)=0 use karne par:
loge∣x+y∣+(x+y)22xy=0
Sahi Option: (2)
