last one, thank you:) 9. (10 pts) Solve the following equation subject to the condition y(0)...
Solve the given differential equation with initial condition. y'-6y = 0, y(0) = 9 The solution is y(t) = (Type an exact answer.)
i need all the question with steps . 2)a) last number is 2 ,,,,it is blurry in the photo Question completion Statue Problern 2a. (7 pts) Solve the following DE. V" + 8y" 62 +9+2, Problem 2b. (8 pts) Solve the following DE: y' +2y +y= e In(a) Problem 2c. (10 pts) Consider the differential equation rạy" – (+ 2x)y' +(+2)y = 0. Verify that y1 = r is one solution of this homogeneous differential equati find the general solution...
Solve the differential equation y' m'y subject to the condition that y e when x = 0. y(20) = Preview TIP Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/ Be sure your variables match those in the question Get Help:
(1 point) Solve the separable differential equation dy da: 2 Subject to the initial condition: y(0) 8.
(1 point) Consider the differential equation This equation has the 2 constant solutions (in increasing order) y -3 and y= The solution of this equation subject to the initial condition y(O)9 is y- (1 point) Consider the differential equation This equation has the 2 constant solutions (in increasing order) y -3 and y= The solution of this equation subject to the initial condition y(O)9 is y-
Please complete both if possible if not please complete # 10. Thank you. Print clearly. 9. Find the solution of the differential equation (3 + 2sin(a2))y' 4x cos(r2) y 2x, such that y(0)-| 10. Find the solution of the differential equation such that y(0) = 1.
8. Solve the following differential equation given the initial condition y(0) = -5: dy 2.c dr 1+22 9. Solve the following differential equation using the method of separation of variables: dy = x²y. dic
For 0 x π , 0S9, π , and 120 , solve the 2-D wave equation subject to the following conditions. u(0,y,t)-0, u(T.yt):0, u(x,0,) u(x,π, t) 0, 0 Boundary condition: C11 1 u(x),0)-sin(x)sin(2y) + sin(2x)sin(4y), 0 at It=0 Initial condition: For 0 x π , 0S9, π , and 120 , solve the 2-D wave equation subject to the following conditions. u(0,y,t)-0, u(T.yt):0, u(x,0,) u(x,π, t) 0, 0 Boundary condition: C11 1 u(x),0)-sin(x)sin(2y) + sin(2x)sin(4y), 0 at It=0 Initial condition:
In Problems 1 through 10, find a function y = f(x) satisfy. ing the given differential equation and the prescribed initial condition. 1.dy = 2x + 1;y(0) = 3 In Problems 1 through 10, find a function y = f(x) satisfy. ing the given differential equation and the prescribed initial condition. 1.dy = 2x + 1;y(0) = 3
a) Solve the IVP: (x + y)2dx + (2xy + x2 - 1)dy = 0 ; y(1) = 1 b) Find a continuous solution satisfying the given De subject to initial condition. dy + 2x y = f(x), f(x) = fx, 05x<1 y(0) = 2 dx 10, 821 c) Solve the Bernoulli's equation xy' + y = x²y2