Identify Singular points of the DE: (x2 - 9) y" + 2xy' + (Inx) y = 0 x = £3 are Singular points x = £3 and all x < 0 are Singular points. O None of them All x > 0 are Singular points Identify Ordinary points of the DE: (x2 - 2x + 5) y" + 2xy' + (x - 1)y=0 O x = 1 + 2i are Ordinary points. None of them O x > 0 are...
[10] 2. Solve the initial value problem (x² + 3y² + x)y' + 2xy + y = 0, y(1) = 1.
Solve the following ODE's for Y(x) A) x2y''-2xy'+2y=0 y(1)=2 y'(1)=1
Solve the following ODE's for Y(x) A) x2y''-2xy'+2y=0 y(1)=2 y'(1)=1
[10] 2. Solve the initial value problem (x^ + 3y^ + c)2 + 2xy + y = 0, g(1) = 1.
15. (2xy + y^2 ) dx + (2xy + x^2 − 2x 2y^2 − 2xy^3 ) dy = 0
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.
3. Solve the Bernoulli's Equation or’y'-3y2 + 2xy = 0, y(2) = 5
solve the given de or ivp 3. [2xy cos (x²y) - sin x) dx + rcos (2²y) dy = 0.