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a) Find the general solution of the differential equation dy Yu-r=0 Hint: Use separation of variables.
both please 1. Use the method of separation of variables find the general (explicit) solution to the differential equation = xcscy dy 2. Find the general solution to the first-order linear differential equation dy ex x + 2y = dx X by finding an appropriate integrating factor. (No credit for any other method). Give an explicit solution. 0
cos y 1. Use the method of separation of variables find the general (explicit) solution to the differential equation = xcscy cosydy - x CSC²y dy xoschy cosy Xcsc²y.t dx cosy dy = xoscay.secy dx
4) (25 points) Find the particular solution of the differential equation. Use dy 4x4 separation of variables. dx y4 y(0)=2 5) (15 points) For a certain drug, the amount y(t) remaining in the blood after t hours satisfies y' = -0.1y with y(0=2 mg. Find y(t) and use your answer to estimate the amount present in the blood after 2 hours. (Hint: use the appropriate unlimited, limited or logistic model from the Models of Growth table. State the model you...
Find the general solution of the first order partial differential equation using the method of separation of variables. Use the substitution U = XY to solve the boundary value partial differential equation 34x + 2 uy = u for . for u(0,y) = 2e By Use the substitution U = XY to solve the boundary value partial differential equation 3ux +2y = for 3. for u(x,0) = 4e2+ +5e*:
Solve the given differential equation by separation of variables. dy
Use separation of variables to find a product solution to the following partial differential equation, ди (10y + 7) + (5x + 3) ax ду = 0 that also satisfies the conditions (0,0) = 6 and u,(0,0) = 7. Enter your answer as a symbolic
7. Consider the first order differential equation 2y + 3y = 0. (a) Find the general solution to the first order differential equation using either separation of variables or an integrating factor. (b) Write out the auxiliary equation for the differential equation and use the methods of Section 4.2/4.3 to find the general solution. (c) Find the solution to the initial value problem 2y + 3y = 0, y(0) = 4.
Solve the given differential equation by separation of variables. dy/dx = sin(9x)
Please help! Thank you so much!!! 1. Use the full separation of variables approach to find the solution to the Helmholtz equation u(x, 0)-f() ue(r,0), a(0, t) = 0, t0, t>0 1. Use the full separation of variables approach to find the solution to the Helmholtz equation u(x, 0)-f() ue(r,0), a(0, t) = 0, t0, t>0
Solve the given differential equation by separation of variables. dP/dt= P-P2 Solve the given differential equation by separation of variables. dN/dt + N = Ntet+3 Solve the given differential equation by separation of variables. Find an explicit solution of the given initial-value problem.