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please solve and show work clearly for both a and b Use an appropriate substitution to...
MY NUTES 7. DETAILS Solve the given differential equation by using an appropriate substitution. The DE is of the form dy = f(x + By + C), which is given in (5) of Section 2.5. dy dx = (x + y + 5)2
this is differential equations, please write clearly and show
work. thanks
Use the methods of section 8.2 to find the general solutions of the given systems of differential equations in the following three problems. 1. = x + y dx dt dy dt = 5x - 3y
Need help on 8,9 and 10 please.
(1 point) Use substitution to find the general solution of the differential equation (7x - y)dx +ady 0 (Use C to denote the arbitrary constant and In input | if using In.) help (formulas) Solve the differential equation (y2 + xy) dx-x2 dy = O c- Inlx G-loves Solve the homogeneous differential equation -yd(xaydy0 Note: Some algebraic manipulation goes into putting your answer into the form below. 10% of the following is a...
Need 20 and 22. please explain.
In Problems 19–26 solve the given differential equation. 19. (y2 + 1) dx = y sec? x dy 20. y(In x – In y) dx = (x In x - x In y - y) dy dy 21. (6r: + 1)y? + 3x² + 2y3 = 0 dx dx 22. dy 4y2 + 6xy 3y² + 2x
Need number 22. Please explain.
In Problems 19–26 solve the given differential equation. 19. (y2 + 1) dx = y sec? x dy 20. y(In x – In y) dx = (x In x - x ln y - y) dy dy 21. (6r: + 1)y? + 3x² + 2y3 = 0 dx dx 22. dy 4y2 + 6xy 3y2 + 2x
show work for both
Solve the equation by making an appropriate substitution. 14) (x2 - 2x) - 23x2 - 2x)+ 120 - 0 answer {-3, -2, 5,4} Solve the radical equation, and check all proposed solutions. 15) V6x + 16 - answer {8}
Solve the initial value problem 2yy' + 2 = y2 + 2x with y(0) = 4. To solve this, we should use the substitution u = With this substitution, y = y' = Enter derivatives using prime notation (e.g., you would enter y' for dy/dx). After the substitution from the previous part, we obtain the following linear differential equation in x, u, u'. The solution to the original initial value problem is described by the following equation in x, y.
1. (algebra review) Solve the equation 3x'z+4x-e'z+5z-sin(x) for z. Clearly show your work and thinking. 2. (algebra review) Solve the equation sin(o)('y+21)-y'+5-ycos() for y. Clearly show your work and thinking. dy 2 + y2|and difference between the meanings of the symbols d and x2+yj 4. Explain the difference between writing. That is, explain the dx dxdx
1. (algebra review) Solve the equation 3x'z+4x-e'z+5z-sin(x) for z. Clearly show your work and thinking. 2. (algebra review) Solve the equation sin(o)('y+21)-y'+5-ycos() for y....
DETAILS Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation. xdy 1 dx + y =
Solve the initial value problem 2yy'+3=y2+3x with y(0)=4a. To solve this, we should use the substitution u=With this substitution,y=y'=uEnter derivatives using prime notation (e.g., you would enter y' for dy/dx ).b. After the substitution from the previous part, we obtain the following linear differential equation in x, u, u'c. The solution to the original initial value problem is described by the following equation in x, y.