(3 Points) Solve the IVP. (1 + x² + y² + x²y² )dy = y²dx, y(-1) = 1 O + y = tan-x + 4 O = = cosx + 4. O y - = tan-x+ I 4. %3D O : = = y cotx + JT %3D 4

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السؤال .8
(3 Points)
Solve the IVP.
(1 + x² + y° + x²y² )dy = y dx,
y(-1) = 1
+ +y =
= tan¬lx
-1
= cosx +
= COS
y
4
O y - = tan-x+
JT
O: =y cotx + :
%3D
0:=y tan-x +
O:-y = tanx+
* السؤال .9
(3 Points)
Let vn (x)
VI (x)e cosx +
%D
Transcribed Image Text:السؤال .8 (3 Points) Solve the IVP. (1 + x² + y° + x²y² )dy = y dx, y(-1) = 1 + +y = = tan¬lx -1 = cosx + = COS y 4 O y - = tan-x+ JT O: =y cotx + : %3D 0:=y tan-x + O:-y = tanx+ * السؤال .9 (3 Points) Let vn (x) VI (x)e cosx + %D
(4 Points)
Let y(x) be the solution for
the DE. ydx = (y – xy)dy
If y(e?) = 1 then at x = -1
the value of y will satisfy
O y = e
O y =
O y e = e
O y = -1
O y e = -1
O y e' = -e
y = -e
O y e = -e
8. Jlaul *
Transcribed Image Text:(4 Points) Let y(x) be the solution for the DE. ydx = (y – xy)dy If y(e?) = 1 then at x = -1 the value of y will satisfy O y = e O y = O y e = e O y = -1 O y e = -1 O y e' = -e y = -e O y e = -e 8. Jlaul *
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