x = cost, y = Solve S(3x² + y²)dx + 2xydy along the circular arc C...
Solve: (x^2+y^2)dx=2xydy using v=y/x
Which of the following is solution for (x^2 + y^2) dx +2xydy= 0? xy^2+1/3x^3=c x^2y+1/3x^3=c xy^2+1/2x^3=c x^2y+1/2x^3=c
Solve the differensial е чу (x²-3y² ) dx + 2xydy b) Demonstrate whether the given differential equation is exact.If it is exact, Solve it. +y dx dy = 0 y-1 2 y-1
PROBLEMS Solve for y. 3.1. - x + 4x + sin 6x 3.4. y + 3x = 0 3.5. (x-1)? ydx + x? (y - 1)dy = 0 Just find a solution. Solving for y is tough. Test for exactness and solve if exact. 3.6. (y - x) dx + (x? - y) dy - 0 3.7. (2x + 3y) dx + (3x + y - 1) dy - 0 3.8. (2xy Y + 2xy + y) dx + (x*y*el...
Evaluate xy dx + (x + y)dy along the curve y = 3x? from (-2,12) to (1,3). с xy dx + (x + y)dy = 0 xy dx + с (Type an integer or a simplified fraction.)
Question 1 (PLO-2,CLO-2,C3)Marks-(12+13 a) Solve the following Differential Equation. (x2 – 3y2)dx + 2xydy = 0 b) Demonstrate whether the given differential equation is exact.If it is exact, Solve it. x+y dx dy = 0 y-1 2 y-1
Solve the differential equation. dy dx 3.c2e- y=In(x3 + C) y=Cln(x) y=+*+ Oy=ln(3x + C)
Solve the given initial value problem. dx = 3x + y - e 3t. dt x(0) = 2 dy = x + 3y; dt y(0) = - 3 The solution is x(t) = and y(t) = 0
2. Solve the DE: (3x²y + cos x) dx +(x +e") dy = 0
Solve the given differential equation. 9) dy + y = 14 +6 cos 3x 9) dx² B) y = ci sin x + c2 cos A) y=cı sin x +c2 cos x + cos 3x +14 C)y=cı sin x +c2 cos x - cos 3x +14 D) y=q sin x +02 cos x - sin 3x+14