Problem 7. Find the solution to the following differential equations that satisfies the given initial conditions:
Find the particular solution to the given differential equation that satisfies the given conditions. d2y 9 dy 14y= 12 - ex; 4) dx dx2 and y - 29 when x = 0 42 dy dx 2 2x A) y B) y 7 6 7 6 사우-등나을이건을. 22x+ 27x-6_1 ex 2 2x-2,7x,6_1 5 7 6 C) y D) y 7 6
Find the particular solution to the given differential equation that satisfies the given conditions. d2y 9 dy 14y= 12 -...
Find the solution of the differential equation that satisfies the given initial condition. dL = KL2 In(t), L(1) = -1 dt
Find the solution of the differential equation that satisfies the given initial condition. y' tan(x) = 7a + y, y(Tt/3) = 7a, 0 < x < 7/2, where a is a constant. 4. V3 X
Find the solution of the differential equation that satisfies the given initial condition. y' tan(x) = 7e + y, y(7/3) = 7a, 0 < x < 77/2, where a is a constant. 4 V3 X
Find the solution of the differential equation that satisfies the given initial condition. dL = KL2 In(t), L(1) = -1 dt X
Problem 3. Find the general solution of the following first order differential equations. If an initial condition is given find the specific solution. a) xy'y - exy. Suggestion: Set u xy c) y, + 2xy2-0 , y(2)-1
1. (10pts) Find the solution to the initial value problem for the following differential equations 1/' + 2y - 8y = (2x + 2?), y(0) = -1, 7(0) = 0.
Find the solution of the differential equation that satisfies the given initial condition. * In x = y(1+ V3 + y2)y, y(1) = 1 x?n(x) - ***+ ** – 3y2 + }(3+x2)(+) *
7-50 Find the v(t) that satisfies the following differential equa- tion and initial conditions: +36r(1)=0, v(0) = 0 V dt
Find the solution of the differential equation that satisfies the given initial condition. du 2t + sec?(t), V(0) = -5 dt 2u UE X