Consider the differential equation dy(t)/dt − ay(t) = B cos ωt + A sin ωt. We would like to find solutions of the form M cos ωt + N sin ωt for this differential equation. (Solutions need to satisfy the equation for any value of t.) What are M, N in terms of A, B, ω, a?
Consider the differential equation dy(t)/dt − ay(t) = B cos ωt + A sin ωt. We would like to find solutions of the form M cos ωt + N sin ωt for this differential equation. (Solutions need to satisfy the equation for any value of t.) What are M, N in terms of A, B, ω, a?
Consider the differential equation dy(t)/dt − ay(t) = B cos ωt + A sin ωt. We would like to find solutions of the form M cos ωt + N sin ωt for this differential equation. (Solutions need to satisfy the equation for any value of t.) What are M, N in terms of A, B, ω, a?
Consider the differential equation dy(t)/dt − ay(t) = B cos ωt + A sin ωt. We would like to find solutions of the form M cos ωt + N sin ωt for this differential equation. (Solutions need to satisfy the equation for any value of t.) What are M, N in terms of A, B, ω, a?
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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