Differential Equations - Seperable equations
Differential Equations - Seperable equations (a) y=tan(ln(x)--) 5) 5 (b) y=(31 es2 ds + 27 3 (a) y=tan(ln(x)--) 5) 5 (b) y=(31 es2 ds + 27 3
Differential Equations - Seperable equations (a) y=tan(ln(x)--) 5) 5 (b) y=(31 es2 ds + 27 3
Solve by using Cramer’s Rule 4 e x – 6 tan( y ) + 2 ln(z) = 1 3 e x + 5 tan( y ) – 3 ln(z) = 2 e x + 5 tan( y ) + 4 ln(z) = 5
1. Solve the following differential equations: a. xy'=y+Vxy x+2y+3 y'= b. 2x – y +5 x+2y+3 y'= x+2y+5 y cos(x+y)+x+y d. sin(x + y) + y cos(x+y)+x+y C. y'=
Differential Equations 1. (15 points. Consider the following differential equation y'=x*(1+y) a) Determine if y = tan is a solution? b) If you determine it is a solution, will a constant multiple of a solution be a solution for this DE? c) If you determine it is not a solution, is the statement true or false: y failed to be an implicit solution. (G
5. Find the derivative of f(x) = ln (sec(x) + tan *' (x)). 6. Find an equation of the tangent line to the curve y = x’ In(x) when x = e?
The differential equation (x - y)dx + xdy=0 is a Homogeneous differential equation. Select one: O True O False Which of the following linear differential equations is obtained after applying a suitable substitution to the Bernoulli equation (cos 2)y' + 5(sin x)y = cos 1 Select one: 5 tan O A. Vt 3 10 tan OB. + 3 10 tan : Ocot 3 5 tanz OD. + 2 COS 3 casa 3 2 Cosz 3 U COST 2 5 tan...
1. For the differential equation x’y"+xy'- y = ln x, y = -- Inx. a. What is the order? b. Is it linear, or nonlinear? c. Verify that y=-- In x is a solution of the differential equation.
find the function y=y(x) for x>0 which satisfies the seperable differential equation, dy/dx=(4+17x)/(xy^2), x>0, y(1)=3
3. Solve the system of differential equations X'= 3x+y y = x+3y
Exact Differential Equations. Let y(x) be the solution of the following initial value problem: (cos z ln(2y = 8) + 2) + (x+4)=0, x(1) -- What is the value of y(+/2)? (a) 37 + 1. (b) 1/7- 2. (c) /3+ V. (d) 4+1/. (e) None.