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2. Solve the following Bernoulli's differential equations. (a) 2204 + 2xy – 2,2 = 0 (b) = 54 – 3y2 (c) y 2 x +48 = 1 (d) copy + 6y = 3x44/3 dr
a) Solve the IVP: (x + y)2dx + (2xy + x2 - 1)dy = 0 ; y(1) = 1 b) Find a continuous solution satisfying the given De subject to initial condition. dy + 2x y = f(x), f(x) = fx, 05x<1 y(0) = 2 dx 10, 821 c) Solve the Bernoulli's equation xy' + y = x²y2
2. Solve the differential equation (2xy + y)dx + (x2 + 3.ry2 – 2y)dy = 0. Answer: x²y + xy3 – y2 = C.
Solve the differential equation with the given initial condition. y' + 2xy = 8x y(0) = 0 y(x) =
Solve the differential equation below using series methods. y” – 2xy' – y = 0, y(0) = 3, y'(0) = - – 8 Find the first few terms of the solution y(x) = 2 azxk k=0 ao Preview ai Preview a2 Preview a3 Preview 24 Preview 25 Preview Points possible: 1 License
3) Solve the following: max Inx + y x,y ST 2xy 10,x 2 0,y 2 0
Question 4 Solve the differential equation. 2xy' + y = 2V* Question 5 Solve the initial value problem xy' + y = xln x , y(1) = 0 Question 7 Find the derivative. c = tet, g =t+ sin t Question 8 Find the equation of the tangent to the curve at the given point. x = ť – t, y=ť +t+1 ; (0,3)
Solve the differential equation and use matlab to plot the solution 2. dy +2xy f(x), y(0) = 2 dx f(x)=x0sx<1 l0 x 2 1
Solve the differential equation and use matlab to plot the solution 2. dy +2xy f(x), y(0) = 2 dx f(x)=x0sx
solve the differential equation (1 – x?)y" - 2xy'+6y=0 by using the series solution method
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