1 o1Express the differential equation y"(x) -y(x) -6y x 1 with y(0) y(1) -0 into Fredholm...
02 Solve the Fredholm integral equation of the second kind y(x)-f(x) +AJ0x(1 H) y(t) dt when λ is not an eigenvalue
02 Solve the Fredholm integral equation of the second kind 3. y(x) fx)+A( ) y(t) dt when A is not an eigenvalue 4. Q2 Find the Jordon canonical for of A -3 8 3 4 -8-2 02 Solve the Fredholm integral equation of the second kind 3. y(x) fx)+A( ) y(t) dt when A is not an eigenvalue 4. Q2 Find the Jordon canonical for of A -3 8 3 4 -8-2
solve the differential equation (1 – x?)y" - 2xy'+6y=0 by using the series solution method
1. Solve each of the following inhomogeneous Fredholm integral equations of the second kind for all values of 1 for which there is a solution. (x) = cos x + 2 sin x pt)dt ел Jo
: Solve the following differential equation eigenvalue problems. a y'' + λy = 0; y(0) = 0; y(4) = 0 b y''+ λy = 0; y(0) = 0; y' (1) − 2y(1) = 0 In problem [a] you may assume that there are no eigenvalues for λ ≤ 0. In problem [b] you will not be able to find the exact eigenvalues. You should find a condition on the eigenvalues of the form f(µ) = 0 where µ 2 =...
1. 10 points Given y(x) x 'is a solution to the differential equation x’y"+ 6xy'+6y=0 (x > 0), find a second linearly independent solution using reduction of order.
Solve the given differential equation with initial condition. y'-6y = 0, y(0) = 9 The solution is y(t) = (Type an exact answer.)
#4 Solve the following: (1 point) Solve the differential equation 6y 2 +2 where y 6 when 0 (1 point) The differential equation can be written in differential form: M(x, y) dz +N(z, ) dy-0 where ,and N(x, y)--y5-3x The term M(, y) dz + N(x, y) dy becomes an exact differential if the left hand side above is divided by y4. Integrating that new equation, the solution of the differential equation is E C
how to solve riccati's differential equation Solve Riccati's differential equation dy +6y? = 1 (a) or (b) dy dx y(y + 2x) + 2 = 0. dx x?
4. Consider the differential equation y' - 6y' + 9y = 4e3t a) Find the general solution of the differential equation. b) Solve the IVP: Y" - 6y' +9y = 4e3with y(0) = 1 and y'(0) = 10.