for a differential equation is shown in the figure. Determine the general solution of this equation....
need detailed process and pretty handwriting 4, (20%) For the ideal column shown, by solving the differential equation Elv"+Pv0, determine (a) the critical load Per, (b) the equation of the buckled shape. (Hint: let k P(EI)) ** The general solution to the o.d.e. v', + k 2 v = 0 s v(x) C sin kx+ C2 cos kx hv using Mohr's circle, 5. (15%) For 4, (20%) For the ideal column shown, by solving the differential equation Elv"+Pv0, determine (a)...
81. A slope field for a differential equation is shown in the figure above. If \(y=f(x)\) is the particular solution to the differential equation through the point \((-1,2)\) and \(h(x)=3 x \cdot f(x)\), then \(h^{\prime}(-1)=\)(A) \(-6\)(B) \(-2\)(C) 0(D) 1(E) 12
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"- 2y'- 15y=-51 sin(3 x) -3x | Ae 5x + Be 34 y(x) = 8.5 + -cos(3x) * 17 51 14 sin(3x) - - Find the unique solution that satisfies the initial conditions: Y(0) = 2.5 and y'(o)=37 y(x) = 7. [-12 Points) DETAILS Find the general (real) solution of the differential equation: y" + 4y' + 4y=64 cos(2x) y(x) = Find the unique solution...
find the general solution of the differential equation by using the system of linear equation. please need to be solve by differential equation expert. d^2x/dt^2+x+4dy/dt-4y=4e^t , dx/dt-x+dy/dt+9y=0 Its answer will look lile that: x(t)= c1 e^-2t (2sin(t)+cos(t))+ c2 e^-2t (4e^t-3sin(t)-4cos(t))+ 20 c3 e^-2t(e^t-sin(t)-cos(t))+2 e^t, y(t)= c1 e^-2t sin(t)+ c2 e^-2t(e^t-2sin(t)-cos(t))+ c3 e^-2t(5e^t-12sin(t)-4cos(t))
Find the general solution of the differential equation y2yy Use C1, C2, for the constants of integration. Enclose arguments of functions in parentheses. For example, sin (2a) 9 el
Find the general solution of the following differential equation: (1) ?′′ + 5?′ + 6? = 2????*?^? (2) ?′′ + 2?′ + ? = ? + ?e^(-t). (please solve Question No.7 only) 7. (30 points) Find the general solution of the following differential equation: (1) y" + 5y' + 6y = 2etsint (2) y" + 2y + y=t+te-t 8. (10 points) Use the method of variation of parameters to find a particular solution of y" + y = 1/sin (t),...
1.6.12 Find the general solution of the following differential equation. Primes denote derivatives with respect to x. 5xyy' = 5y2 + 4x 18x2 + y2 For x, y>0, a general solution is (Type an implicit general solution in the form F(x,y) = C, where C is an arbitrary constant. Type an expression using x and y as the variables.)
(27 points) Find the general solution of the associated homogeneous equation for each nonhomogeneous differential equation below. Then determine the form of a particular solution ур of the nonhomogeneous equation. Do not solve for the undetermined coefficients in yp (a) (10 points) y" – 9y' – 22 y = 5xe -2x (b) (10 points) y" – 4y' + 29 y = 8x sin 3x
(27 points) Find the general solution of the associated homogeneous equation for each nonhomogeneous differential equation below. Then determine the form of a particular solution y, of the nonhomogeneous equation. Do not solve for the undetermined coefficients in yp: (a) (10 points) y" - 9y' - 22y = 5xe-2x (b) (10 points) y" – 4y' + 29 y = 8x sin 3x
Find the general solution of the given differential equation. x y - y = x2 sin(x) y(x) = (No Response) Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Enter your answer using interval notation.) (No Response) Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE.) (No Response)