First, verify that y(x) satisfies the given differential equation. Then, determine a value of the constant...
Verify by substitution that the given function is a solution of the given differential equation. Note that any primes denote derivatives with respect to x. y' = 4x3y = x + 6 What step should you take to verify that the function is a solution to the given differential equation? O O O O A. Substitute the given function into the differential equation, B . Integrate the function and substitute into the differential equation C . Determine the first and...
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
Determine if the given function y- f(x) is a solution of the accompanying differential equation Differential equation: 9xy' + 9y-cos x Initial condition: y()0 Solution candidate: y- x O a. No b. Yes Determine if the given function y- f(x) is a solution of the accompanying differential equation Differential equation: 9xy' + 9y-cos x Initial condition: y()0 Solution candidate: y- x O a. No b. Yes
hellllllllllp please a) Verify that the function y = ?? + is a solution of the differential equation zy' +2y 4x? (x > 0). b) Find the value ofe for which the solution satisfies the initial condition (2) - 5. = Submit Question a) Verify that the function y=x? + с 2 is a solution of the differential equation ry' + 2y = 4x², (x > 0). b) Find the value of c for which the solution satisfies the initial...
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)(+) *
Find the solution of the differential equation dy dx = x y that satisfies the initial condition y(0)=−7. Answer: y(x)=
Find the function y = y(2) (for x > 0) which satisfies the separable differential equation dy 6 + 14.2 dic 12 2 0 with the initial condition y(1) = 3. y=
1) Find the particular solution of the differential equation that satisfies the initial condition. (Enter your solution as an equation.) Differential Equation Initial Condition yy' − 4ex = 0 y(0) = 9 2) Find the particular solution of the differential equation that satisfies the initial condition. (Enter your solution as an equation.) Differential Equation Initial Condition 10xy' − ln(x5) = 0, x > 0 y(1) = 21 Just really confused on how to do these, hope someone can help! :)
Find the particular solution of the differential equation that satisfies the initial condition. (Enter your solution as an equation.) Differential Equation initial Condition y(x + 3) + y = 0 Y(-6) = 1