(1 point) Solve the following differential equation: (tan(x) 8 sin(x) sin(y))dx + 8 cos(2) cos(y)dy =...
(8 points) Solve the following differential equation: (y - x)dx + (x + y2)dy = 0. = constant. help (formulas)
4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy. dz= Show that dz is an exact differential and determine the corresponding function f(x,y) Hence solve the differential equation = z sin( Cos( y) 2 x cos( y) dy 10] (b) Find the solution of the differential equation d2y dy 2 y e dx dæ2 initial conditions th that satisfi 1 (0) [15] and y(0) 0 4. (a Let (sin( x cos( ) dr...
please solve the given differential equation 11. [y cos(xy) sin x] dx +xcos(xy) dy 0
5. Solve the first order differential equation. my dy - z3 cos y dx = 0 sin :
Consider the differential equation: (7y sin(xy) + 2 sec x) dx = (2 lny – 4x sin(xy))dy Note: Do not use square brackets in your response, use normal parantheses if you have to, i.e "0" Then aM ду and ƏN ax Is this equation exact? Yes No Consider the differential equation: sin(x)dx + 5y cos(x)dy = 0 Which of the following can be an integrating factor to make the equation exact? Select all that apply. On=e-54 On=tan(x) Ju=e-542/2 On =...
Solve the given differential equation. 9) dy + y = 14 +6 cos 3x 9) dx² B) y = ci sin x + c2 cos A) y=cı sin x +c2 cos x + cos 3x +14 C)y=cı sin x +c2 cos x - cos 3x +14 D) y=q sin x +02 cos x - sin 3x+14
8. Solve the differential equation y"+y=sin(2) cos(x).
[8] 2. Consider the differential equation dx + (1 - sin(v)) dy = 0 Determine if the equation is exact. If so, solve. If not determine an approximation integrating acco the equation exact. Verify that the new equation is exact, and solve the differential equation using the integrating factor you have found. (Hint: the integrating factor should be a function of y only.)
Solve the homogeneous differential equation -y d) dy 0. (Note: Some algebraic manipulation goes into putting your answer into the form below.) (1 point) Use substitution to find the general solution of the differential equation (2-y) dx + x dy = 0. (Use C to denote the arbitrary constant and Inl input if using In.) help (formulas)
Solve the Separable Differential Equation. dy 1) e6x - 6y dx A) y = 6ln (e6x + C) B) y = 6e6x + C y-In (ex.c) D) y = ln (e6x + C) = 4 cos x sec y A) y = sin (4 sin x + C) C) y=sin-1 (4 cos x + C) B) y = sin-1 (4 sin x + C) D) y = 4 sin x + C