solve x3y =y²e*+sxty Determine whether 400 equahon and the initeal yeo) =0 satisfies hoth the condition
Solve the equation y' - y=e?"y? with the initial condition y(0) = 1.
Solve the equation (2x3 + 3x - lyXdx + (x3y - 1)dy = 0 An implicit solution in the form F(x,y)=Cis-C, where is an artitrary constant, and (Type an expression using X and y as the variables.) by multiplying by the integrating factor. no solutions were lost the solution x=0 was lost the solution y=0 was lost
find the particular solution that satisfies the initial condition dy/dx= (2x+sec^2x)/2y , y(0)=-5
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?
3. Solve y" + 2ay' +y -sin(t) with initial condition y(0) -y'(0)0 for all values of a 2 0. Plot the amplitude of oscillations as a function of w for α-1/2 W1
3. Solve y" + 2ay' +y -sin(t) with initial condition y(0) -y'(0)0 for all values of a 2 0. Plot the amplitude of oscillations as a function of w for α-1/2 W1
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:
Find the solution of the differential equation that satisfies the given initial condition. y' tan(x) = 7a + y, y(Tt/3) = 7a, 0 < x < 7/2, where a is a constant. 4. V3 X
Find the solution of the differential equation that satisfies the given initial condition. y' tan(x) = 7e + y, y(7/3) = 7a, 0 < x < 77/2, where a is a constant. 4 V3 X
2. Determine whether the following function satisfies the wave equation. Y(x,t)= Ae (kr-at)
Solve the differential equation with the given initial condition. y' + 2xy = 8x y(0) = 0 y(x) =