8. Find a solution to the differential equation dy 6x + sinx - 2 cos x...
Verify that the indicated function is a solution of the given differential equation. dy 1 +y=sinx : y= 2 sinx dx Cosx +10e-X
Find the solution of the differential equation dy dx = x y that satisfies the initial condition y(0)=−7. Answer: y(x)=
Show that the function y = cos (ln(x)] satisfies the differential equation 22 day dy +2 dx +y = 0. dc2
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...
(1 point) Solve the following differential equation: (tan(x) 8 sin(x) sin(y))dx + 8 cos(2) cos(y)dy = 0. = constant. help (formulas)
(1 point) Find the indicated coefficients of the power series solution about x = 0 of the differential equation -(sinx)y y(0) = -5, y'(0) = 3 = cos x, x2 y 53x (1 point) Find the indicated coefficients of the power series solution about x = 0 of the differential equation -(sinx)y y(0) = -5, y'(0) = 3 = cos x, x2 y 53x
(1 point) Find the particular solution of the differential equation + y cos(x) = 8 cos(x) dx satisfying the initial condition y(0) = 10. Answer: Y= Your answer should be a function of x.
5. Find the solution of the differential equation that satisfies the given initial condition dy cos' xsin dx ysin y Yo) - 1. Leave the answer in the implici form. ,y(o)- 1. Leave the answer in the implicit form. 5. Find the solution of the differential equation that satisfies the given initial condition dy cos' xsin dx ysin y Yo) - 1. Leave the answer in the implici form. ,y(o)- 1. Leave the answer in the implicit form.
can someone help me with this problem? (1 pt) Find the solution of the differential equation dy = x*y (In(y) dx which satisfies the initial condition y(1) = e2. y = (1 pt) Find the solution of the differential equation dy = x*y (In(y) dx which satisfies the initial condition y(1) = e2. y =
Find the general solution to the differential equation dx sin χ xdy +3(y +x*) = sinx dx sin χ xdy +3(y +x*) = sinx