Solve for the general solution on question number 6.
Solve for the general solution on question number 6. 9 5 -1) Cion of the given...
Question 3: Find the general solution of the system given as: -18 X'=13 Question 4: Find the eigenvectors and eigenvalues for the following system. 2 1 X's 2 6 5 2 Х Question 5: Solve the initial value problem. (State only the real part of solution) 8 - 2 1 XCO) - (3)
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...
[-/2 Points] DETAILS Find the general solution of the given system. 4 - 1 2 X' = -1 4 0 X -1 04 X(t) = Submit Answer [-/2 Points] DETAILS Solve the given initial-value problem. (1 -4 -6 X' = 1 2-3 X, X(0) = 1 -2 - 2 X(t) [-/2 points) DETAILS Solve the given initial-value problem. X' = 8 -1 5 +6)x, x(0) = (-3) X(t)
Please Answer 5-9 ALL in detail
In problems 5 and 6 solve the given differential equation. 5. y (In x - In y) dx = (x In x - x In y - y) dy Ans: 6. (2x + y + 1) y' = 1 Ans: 7. Solve the initial-value problem + 2(t+1)y? = 0, y(0) = %. Ans: dy_y2 - xy(t) = -2. 8. Find an implicit solution of the initial-value problem 9. Ans: Use Euler's method sith step...
1) Find the general solution of the given differential equationa) \(y^{\prime \prime}+2 y^{\prime}-3 y=0\),b) \(y^{\prime \prime}+3 y+2 y=0\),c) \(4 y^{\prime \prime}-9 y=0\),d) \(y^{\prime \prime}-9 y^{\prime}+9 y=0\).2) Find the solution of the given initial value problem and describe the behavior of solution as \(t \rightarrow+\infty\)$$ y^{\prime \prime}+4 y^{\prime}+3 y=0, \quad y(0)=2, y^{\prime}(0)=-1 $$3) Find a differential equation whose general solution is \(y=c_{1} e^{2 t}+c_{2} e^{-3 t}\).
6. Find the general solution of the equation. If the roots are complex (imaginary numbers) write as a linear combination 7. Solve using the method of undetermined coefficients. Find e particular solution, and then give the general solution. 8. Solve using the method of undetermined coefficients. Find of cos and sin. z', + 42 + 4x 0 the particular solution, and then give the general solution. -3r +2r sin(t) 9. Solve using the method of undetermined coefficients. Find the particular...
34) - a) A=/0 3 il 14 1-1) 27 -5 Solve X'=AX General solution) b) A=/6 6 6) Solve X'=AX 11 -5 al (General Solution)
Question 2 Find the general solution to 21 2 -2 X1 X2 1 4 32 Enter Answer D Question 3 Find the solution to the initial value problem X1 1 -2 21 2] [3 (2:0) = [] X1(0) 22(0) X2 3 6 X2 Enter Answer Question 2 Find the general solution to 21 2 -2 X1 X2 1 4 32 Enter Answer D Question 3 Find the solution to the initial value problem X1 1 -2 21 2] [3 (2:0)...
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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...
1-1 12) Solve the given initial-value problem. 6 9 X' = X, X(0) = X(t) =