Provided that z(0) = 10, Solve the differential equation of: dz/dx = -z Secondly, solve the differential equation of: dz/dx = z^2 Now, state which of these is a linear differentiable equation? State which has solutions for every x greater than or equal to zero and provide explanation.
Q4: Solve Bernoulli's equation dy + 3xy = y2 x3 : dx (10 Marks)
please using first equation , solve the second integral
S2f(x)dx = 10 olarak verilsin. $* f(b) f(bx) dx
y
Solve the Bernoulli equation: + dx = z?
dy dx Solve the Bernoulli differential equation
No 4. Solve the differential equation dy dx . Solve the initial value problem: y" + 3y' + 2y 10 cosx, y(0) 1,y'(0) 0
Solve the differential equation. Do not solve explicity for y. (3x2y + ey) dx + + (x3 + xey – 2) dy = 0
4. Solve the exact differential equation. (1-2xy)dx + (4y3 - x2)dy 0
4. Solve the exact differential equation. (1-2xy)dx + (4y3 - x2)dy 0
4. Solve the following equation using integration by parts. (10 Marks) | 22 x2 In(x) dx 5. Calculate the shaded area between the curve and the x-axis as shown below. (5 Marks) y = x2 - 6x
Q4: Solve Bernoulli's equation dy + 3xy = y2x3 ? dx