Solve the differensial е чу (x²-3y² ) dx + 2xydy b) Demonstrate whether the given differential...
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 following differential equations x2d2y/dx2 − xdy/dx − 3y = lnx/ x , x > 0. show that the answer is y = A/x + Bx3 − lnx/ 6x (2lnx + 1) x d2y/dx2 − dy/dx + 2y/x = (ln x)2 .show that the answer is y = x { A cos(ln x) + B sin(ln x) + (lnx) 2 − 2 }
Soru 1 Solve the differential equation (3y +Sxy2) dx + (x + 4x2y) dy - 0 by finding an integrating factor depending on x А x2y + 3x3y2 = 0 B 3xy + 4x2y2 = 0 x3y + 2x3y2 - C x3y + 2xtc
of 3. Solve the differential equation y de + - dx +(2y Inx - 3sin (3y)) dy = 0.
Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.) (1 + ln(x) + y/x) dx = (2− ln(x))
Solve the exact differential equation (4 x y tsin x) dx + (x" - Y) dy = 0
Use the method for solving Bernoulli equations to solve the following differential equation. dy dx +3y = e Xy - 8 Ignoring lost solutions, if any, the general solution is y=0 (Type an expression using x as the variable.)
Find the general solution for the differential equation. x dy/dx + 3y = 4x2 – 3x; x>0 y=_______
(2x+ 2 x y²) dx + ( x ²) - 3y) dy = 0 solve your equation
1: Determine whether the given differential equation is exact Q1: Determine whether the given differential equation is exact a) [1 + In(xy)]dx + (dy = 0 소 소 전 소 소 be xydx - (xy2 + y3)dy = 0 t