of 3. Solve the differential equation y de + - dx +(2y Inx - 3sin (3y))...
No 4. Solve the differential equation dy dx . Solve the initial value problem: y" + 3y' + 2y 10 cosx, y(0) 1,y'(0) 0
2. Solve the differential equation (2xy + y)dx + (x2 + 3.ry2 – 2y)dy = 0. Answer: x²y + xy3 – y2 = C.
(10 points) For the differential equation y(6) - 2y (5) – 3y(4) + 2y(3) + 10y" – 8y = 0. Find the fundamental solution set to the DE if the characteristic equation in factored form is given by (r – 2) (r2 + 2r + 2) (r - 1) (r + 1) = 0
Problem 4. Verify that the differential equation is exact then solve it! (4x + 2y)dx + (2x + 4y)dy = 0 Answer:
6 (5) Solve the differential equation using a Laplace Transform: y 3y' +2y t y(0) 0, y'(0) 2
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.)
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
solve the following differential equations (e* + 2y)dx + (2x – sin y)dy = 0 xy' + y = y? (6xy + cos2x)dx +(9x?y? +e")dy = 0 +2ye * )dx = (w*e * -2rcos x) di
Solve the differential equation by variation of parameters. Y"' + 3y' + 2y = 6 > 9+ et
Solve the differential equation: (3- x?) y dy dx y +3/7–3