Solve the following IVP:
dy/dx + 4y - e^-x = 0 ; y(0) = 4/3
Solve the IVP (for the Bernoulli equation): dy/dx − (1/x)y = 1/y , y(1) = −3
Calculus 3 Evaluate SOLVE NUMBER 30 Evaluate x2 dx dy (x + 4y3) dx dy x + 4y dx dy cos(2x + y) dy dx e-3x-4y dy dx
a) Solve the IVP: (x + y)2dx + (2xy + x2 - 1)dy = 0 ; y(1) = 1 b) Find a continuous solution satisfying the given De subject to initial condition. dy + 2x y = f(x), f(x) = fx, 05x<1 y(0) = 2 dx 10, 821 c) Solve the Bernoulli's equation xy' + y = x²y2
solve the given de or ivp 3. [2xy cos (x²y) - sin x) dx + rcos (2²y) dy = 0.
solve dy/dx + (-4/x)y=x^5e^x 4. (3 pts) Solve de + y = x5 e.
Find an integrating factor of the form x"y" and solve the equation. (2x y-9y)dx + (4y -9x)dy 0 by multiplying by the integrating factor. An implicit solution in the form F(x,y) C is C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.) Find an integrating factor of the form x"y" and solve the equation. (2x y-9y)dx + (4y -9x)dy 0 by multiplying by the integrating factor. An implicit solution in the...
Solve e^x dy/dx = x sec (y) y (0) = pi
4. Solve the IVP y" + 4y = 36t² + 34t, y(0) = 0, y0) = 0 b) 4y" - y'= 4 + 122, y(0) = 0, 7(0) = 0, y"0) = 0
solve the following differential equations (e* + 2y)dx + (2x – sin y)dy = 0 xy' + y = y? (6xy + cos2x)dx +(9x?y? +e")dy = 0 +2ye * )dx = (w*e * -2rcos x) di
Problem 6 Solve the following IVP: a) y" – 4y" +20y'=0 ; y0)=2 , y'(0)=0, y"(0) = 6 b) y" +4y=0; y(0)=2 , y'(0) = 3