Consider the following higher-order differential equation. y(4) 2y" + y = 0 Find all the roots of the auxiliary equation. (Enter your answer as a comma-separated list.) Find the general solution of the given equation. y(x) =
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- Find Differential Equation. COMPLETE SOLUTION PLEASEFind the differential of the function. u = 2x6 + 7 = npFor the differential equation below, write in standard form, and name the type of equation. Then give and make the appropriate substitution so that the equation is in terms of the new variable and is in standard separable or linear form. You can stop once you get to standard separable or linear form. You do NOT have to find the general solution.
- ナ find the genercal solution of the special type equation given above.Determine the equation of the family of curves as describe and find the differential equation. Hint: Use it by eliminating the arbitrary constant and draw the figure to show the family of curves. A. Straight lines with sum of x and y intercept equal to a constant “k”.Solve the diff. equation y'''- y''- y'+y=2e-t+3sint
- Solve the differential equation of the general solution. 3x2 y = + Express the answer in derivative form Follow-up questions: i. what is the constant coefficient of x ii. what is the constant coefficient of y ii. what is the constant coefficient of yx iv. what is the constant coefficient ofFill in the blank. The symbol C₁ represents a constant. - (4 + C₁e¯6x₁ = Write this result as a linear first-order differential equation that is free of the symbol C₂ and has the form dy/dx = f(x, y) dxSolve for Z. X= (Y-Z) 3