Consider the differential equation- (A) At the point (1.5, - 1.5), the direction field has a slop...
Consider the differential equation y′ = 3y − 9. (a) (1 pt) Make a direction field plot for this function which includes the point (t, y) = (0, 2). (b) (2 pts) Solve the equation by dividing 3y − 9 and using the method outlined in Section 1.2. (c) (1 pt) Find the solution which corresponds to y(0) = 2. (d) (1 pt) Plot the solution corresponding to y(0) = 2 on your direction field plot.
C Consider a differential equation with the given slope field and the in y(0) = 1. 0.5 st -0.5 (a) Explain why, if you wanted to approximate y(2) using two steps of Euler's method, you would need At = 1. (b) Use a straight edge to graph two steps of Euler's method to approximate y(2). (c) This time, instead of using two steps of Euler's method, sketch on the same slope field what it would look like if you used...
differential equation slope field (4) Construct the slope field for the following differential equation, then use the slope field estimate the solution curves (0,-2), and (-2, 0): passing through the points (0, 2), dy dr 8 7 6 -5 -4 3 -2 1 3 4 5 6 7 8 2 -2 1 -3 -1 -1 -4 -7 -6 -5 -9 -8 -2 -3 -4 -5 -6 -7 -8 -9 (4) Construct the slope field for the following differential equation, then...
Consider the equation: +5 0 A) First, use the "completing the square" process to write this equation in the form (z + D-orD) Enter the values of D and E as reduced fractions or integers. E. + 5z = 0 is equivalent to: Preview Preview left side of eqn: Preview B) Solve your equation and enter your answers below as a list of numbers, separated with a comma where necessary. Answer(s) Get help: Video Points possible: 1 Preview License This...
1. Consider the differential equation y' = y-t. (a) Construct a slope field for this equation. (b) Find the general solution to this differential equation. (c) There is exactly one solution that is given by a straight line. Write the equation for this line and draw it on the slope field.
The differential equation - 3xy? – 2xy + ( - 3x²y - 1x2 +5)- Has solutions of form F(x, y) = c where Preview F(x, y) = 1 Get help: Video
(1 point) Consider the first order differential equation x' + = 25% = For each of the initial conditions below, determine the largest interval on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. (Write the interval in the form a < t < b) a. y(-7) = -0.5. help inequalities) b. (-1.5) = -5.5. help (inequalities) C. y(0) = 0. help inequalities) d. y(7.5) = 2.6. help inequalities) e....
The polynomial of degree 3, P(x), has a root of multiplicity 2 at5 and a root of multiplicity 1 at z3. The y- intercept is y37.5. Find a formula for P(z). P(x)- Preview Get help: Videc License Points possible: 1 Unlimited attempts. Submit Write an equation for the polynomial graphed below -2 -3 y(x)- Preview Get help: Video Points possible: 1 Unlimited attempts. Submit Search or type URL calculus Section 22 Spring 2019> Assessment Write an equation for the polynomial...
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
+0.5/1 points Previous AnswersSCalcCC4 7.2.001 2, 9x cos(Ty) is shown A direction field for the differential equation y y 2.0 1.5 1.0 0.5 0.4 -0.6 -0.4 -0.2 0.0 0.2 0.6 (a) Sketch the graphs of the solutions that satisfy the given initial conditions. (i) y(0) 0 (iii y(0) 1 (ii) y(0) 0.5 (iv) y(0) 1.6 V y 2:0 1.5 1.5 .5 X -0.6 O-0.6 -0.2 -0.4 0.6 -0.4 0.0 0.2 0.4 0.6 -0.2 0.0 0.2 0.4 2.0r 1.5 1.5 0.5...