What is the solution for y^'+y=1.01cos(10x) ?

The solution for y^'+y=1.01cos(10x) is y=1.01(0.09900…sin(10x)+0.00990…cos(10x))+(c_{1})/(e^x)

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y^'+y=1.01cos(10x)

y^{^{'}} + y = 1.01 cos (10 x)

y = 1.01 (0.09900 \dots sin (10 x) + 0.00990 \dots cos (10 x)) + \frac{c _{1}}{e ^{x}}

Solution steps

y^{'} (x) + y = 1.01 cos (10 x)

Solve linear ODE:

y = 1.01 (0.09900 \dots sin (10 x) + 0.00990 \dots cos (10 x)) + \frac{c _{1}}{e ^{x}}

y = 1.01 (0.09900 \dots sin (10 x) + 0.00990 \dots cos (10 x)) + \frac{c _{1}}{e ^{x}}

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What is the solution for y^'+y=1.01cos(10x) ?
The solution for y^'+y=1.01cos(10x) is y=1.01(0.09900…sin(10x)+0.00990…cos(10x))+(c_{1})/(e^x)