help with all except numbers 21-26 16. Solve the differential equation by using the Cauchy-Euler Equation 17. Find the solution to the given Initial Value Problem using Green's Theorem 0,y'...
(1 point) a. Consider the differential equation: d2y 0.16y-0 dt2 with initial conditions dt (0)-3 y(0)--1 and Find the solution to this initial value problem b. Assume the same second order differential equation as Part a. However, consider it is subject to the following boundary conditions: y(0)-2 and y(3)-7 Find the solution to this boundary value problem. If there is no solution, then write NO SOLUTION. If there are infinitely many solutions, then use C as your arbitrary constant (e.g....
please help to solve this differential equation.
3. Use power series solutions to solve (x+1)y"+(x-2)y' +y = 0. Center the power se- ries about the ordinary point o = 0. Write the solution as y = col first four terms..]+ ciſfirst four terms...). 4. Find the minimum radius of convergence for a power series solution to the ODE (22+2x+5)/' +10y = 0 centered about the ordinary point Xo = -6
Please solve both questions please.
Solve the given initial value problem. y'"' + 11y'' + 38y' + 40y = 0 y(0)= 0, y'(0) = 10, y''(O) = - 72 y(x) = Find a general solution for the given differential equation with x as the independent variable. y(4) + 6y'' +9y = 0 A general solution with x as the independent variable is y(x) =
Project. Solve the boundary-value problem: y(1)0 10 Verify that your solution y(x) satisfies the differential equation at every point in (-1,1). Is y twice differentiable at all points in (-1,1)1?
Project. Solve the boundary-value problem: y(1)0 10 Verify that your solution y(x) satisfies the differential equation at every point in (-1,1). Is y twice differentiable at all points in (-1,1)1?
4. (a) Solve the differential equation (1-12)y"-2cy' + λ(A + 1)y 0 using power series centered at 0 , in which λ is a constant. Write your solution as a linear combination of two independent solutions whose coefficients are expressed in terms of λ . Compute the coefficients of each solution up to and including the 5 term. Without computing them, what is the smallest possible value of the radius of convergence of each solution and why? (b) When λ...
solve the Cauchy-Euler initial value problem x^2y"-3xy'+4y=0, y(1)=5, y'(1)=3
(1 point) In this problem you will solve the differential equation (+7)y"+11xy' - y=0. x" for the differential equation will converge at least on the interval (-inf.-sqrt(7)] (1) Ey analyzing the singular paints of the differential equation, we know that a series solution of the form y = . (2) Substituting y = . *" into (x2+7y" + 11xy - y = 0, you get that Multiplying the coefficients in x through the sums E Reindex the sums Finally combine...
7: Problem 2 Previous Problem List Next 0 of the differential equation (1 point) Find the indicated coefficients of the power series solution about x (22 — х + 1)у" — у -Ту%3D0, y(0)= 0, y (0) -5 у%3 -5х+ Note: You can earn partial credit on this problem.
7: Problem 2 Previous Problem List Next 0 of the differential equation (1 point) Find the indicated coefficients of the power series solution about x (22 — х + 1)у" —...
9. Question Details ZIDIFEQ9 4.3.009.(38 Find the general solution of the given second-order differential equation. y"+ 36y o y(x) 10. Question Details zomEQ9 4.3.015. Find the general solution of the given higher-order differential equation. yx) - 11.Question Details ZIDTEQ9 4.3.029 Solve the given initial-value problem. y" + 36y-o, y(0)-7, yto)--5 ytx)- 12. Question Details ZIMDifTEQ9 4.4 Solve the given differential equation by undetermined coefficients. y"-6y' + 9y # 6x + 5 y(x)- 13. Question Details ZillDiffE Solve the given differential...
#4
Problem 1 Find the general solution for the given differential equation Problem 2 Solve the d.e. y(4)2y(3) +2y() 3et +2te- +e-sint. Problem 3 Determine the second, third and fourth derivative of φ(zo) for the given point xo if y = φ(z) is a solution of the given initial-value problem. ·ry(2) + (1 +z?)y(1) + 31n2(y) = 0; y(1) = 2, y(1)(1)-0 yay) + sina()0: y(0)()a Problem 4 Using power series method provide solution for the d.e. Problem 5 Using...